log 4 (x) = sqrt(log 4 (x)) find x values

# log 4 (x) = sqrt(log 4 (x)) find x values

• MATH

log 4 (x) = sqrt(log 4 (x)) find x values

log 4 (x) = sqrt(log 4 (x)) Let us square both sides : ==> (log 4 (x))^2 = log 4 (x) Now move log 4 (x) to the left side: ==>( log 4 (x))^2 – log 4 (x) = 0 Now factor log 4 (x): ==> log 4…

• MATH

calculate log 8 (sqrt8^20)

log 8 (sqrt8^20) Let us simplify: log 8 (sqrt(8^20)= 20 log 8 (sqrt(8) = 20 log 8 (8)^1/2 = 20*(1/2) log 8 (8) =…

• MATH

calculate log 5 (1/125) ( 5 is under the log)

log 5 (1/125) We know that 125 = 5^3 Substitute : ==> log 5 (1/125) = log 5 (1/5^3) Now we know that 1/5^3 = 5^-3 ==> log 5 (1/125) = log 5 (5^-3) = -3*log 5…

What happens after the 50th page in The Road by Cormac McCarthy?i just wanna knoo the important…

This is a difficult question to answer because there were many important parts in the story that lead to the whole idea of the story. The boy and the man continue down the road. They run into a…

• GRAMMAR

My question is related to grammar or syntax… What are the differences between categories and…

The category of a word, phrase, or clause pertains to what grammatical term can be applied such as its part of speech [noun,adjective, adverb, etc.], which type of phrase words are [appositive…

• SOCIAL SCIENCES

What would happen to the pressure inside any enclosures on the moon as the sun hits the exterior…

The moon rotates on its axis only once in every 27 days. So, while there are about 13 24-hour periods of “day” and 13 24-hour periods of “night”, there is no atmoshphere to spread the temperature…

• GRAMMAR

How can this sentence be corrected?Hurricanes can cause a lot of damage because of high winds,…

Besides avoiding the informal a lot that writing handbooks suggest not be used in college writing, you may wish to begin with the subordinate clause since doing so will place the emphasis on the…

• THE PILGRIM’S PROGRESS

Compare and contrast John Bunyan’s style in The Pilgrim’s Progress and Alexander Pope’s style in…

Stylistically, the main similarity between these pieces is that both Pope and Bunyan are giving a nod to the epic tradition. Bunyan’s work centers on the character Christian’s epic journey to get…

• JANE AUSTEN

David Cecil said that Jane Austen believed in 3 standards”That there are three universal…

Jane Austen’s picture of humanity did include virtue, sense, and taste. If she is a portrait of her writings, she held high standards on morality, sense, and good taste. Through her writings, women…

• MATH

Use Green’s theorem to evaluate the integral int((x^2-y)dx+xdy) , where C is the circle x^2 +…

Green’s theorem states that for a contour integral, int( L dx + M dy ) = dblint( dM/dx – dL/dy ) dx dy So in your problem, L = x^2 – y ; dL/dy = 2x dx/dy – 1 M = x ; dM/dx = 1 dx/dy = -y/x…

• SOCIAL SCIENCES

In my mind, the most profound advantage of soft drinks would be taste. I mean, sugar water tastes good. Most soft drinks have a very good taste to them. Coke, Pepsi, Sprite, Mountain Dew, heck,…

• MATH

Simplify Rational Expressions m-3/3-m

(m-3)/(3-m) Let us rewrite 3-m as (-1)(-3+m) (m-3)/ (-1)(-3+m) = (m-3)/ (-1)(m-3) = (-1)*(m-3)/(m-3) = (-1)*1= -1

• MATH

Evaluate the line integral int(ydx+x^2dy) where C is the curve x=t , y=(1/2)t^2 where…

intg(ydx + x^2 dy) x=t, y=(1/2)t^2 0=<t=<2 x=t ==> dx= dt y=(1/2)t^2 ==> dy= t dt Now substitute: int(ydx +x^2 dy) = int((1/2)t^2 (dt) + t^2 (tdt)…

• THE DARLING

What is the author’s attitude toward his main character?

Among critics, there has been some disagreement in regards to Chekhov’s view of his main character, Olga. It is generally agreed that Chekhov meant to, as Tolstoy wrote, to sacrifice Olga — that…

• MATH

Solve cos8x.sin5x = 1

This problem has no real solution. cos8x = A <= 1 and sin5x = B <= 1 The only way to get AB = 1 is if A = 1 and B = 1. If you let x = a + bi, then you get the same problem because there…

• THE SCARLET LETTER

Cite a passage that indicates the isolation of Roger Chillingworth in The Scarlet LetterNathaniel…

I cannot give you an exact page number, but there are two chapters you may want to revisit. The first part that shows his desire to be isolated is in Chapter 3 – in his conversation with Hester…

Explain the dimensions of business environment?

Generally, it is agreed that there are five dimensions to the business environment that influence performance. These dimensions are: a) Economic b) Social c) Technological d) Political and e)…

• LITERATURE

Hi, is there a free complete source for Animal idioms in English?I am interested in English…

hello I think you are from Iran. I’m from Iran and so glad to meet you! I have a very useful book named STREET TALK which one part of it is about animal idiom and the rest is about the other…

• ESSAY LAB

I wrote research papers (11 pages) in APA style. The bold titles should be centered or aligned…

There is a reference link at the bottom that will show you how to format titles within your paper for APA style. First of all, you never have to actualy give a TITLE to the introduction, as in…

What are the poetic elements in “The Midnight Ride of Paul Revere”?

Longfellow’s “The Mignight Ride of Paul Revere” is laden with many literary elements. First and foremost, we can see that begins by Longfellow using rhyming couplets in the first stanza. The…

• ODE TO THE WEST WIND

what do the autumn, spring and winter stand for in the poem “Ode to the west wind”?

In Shelley’s poem “Ode to the West Wind,” the seasons represent each of the stages in the cycle of life: Spring=Youth/Birth/Childhood; Summer=Maturity/Adulthood/Prime of Life; Autumn=Middle/Old…

• MY ANTONIA

In the book My Antonia, name and discuss three characteristics that Antonia exhibits that lead to…

I think that Willa Cather admired Antonia’s indomitable spirit. Although many hardships came her way, she was never defeated. Her defeats were temporary setbacks – her father’s death, her pregnancy…

• THE GREAT GATSBY

What sound techniques does Fitzgerald use in The Great Gatsby?

In his description of the valley of ashes (“This is a valley of ashes — a fantastic farm where ashes grow like wheat into ridges and hills and grotesque gardens”), Fitzgerald uses literary…

• ROMANTICISM

Compare Coleridge and Wordsworth as romantic poets.

I would say that both poets are extremely important to the ascent of Romanticism as both a means of artistic expression and philosophic thought. Both played a vital role in the lauding of the…

• OF MICE AND MEN

In Of Mice and Men, if you were in George’s and Lennie’s positions, whose would you prefer and…

To me, there are things to be said for both sides, but I would rather be George. I think that it is the difference between being a child and being an adult. Lennie is like a little kid. There are…

• THE MERCHANT OF VENICE

In The Merchant of Venice, Act 1 scene 2, what does Nerissa feel about the test that Portia’s…

Portia, in this scene, is rather despairing of ever marrying–even if she lives to be as old as Sibylla she’ll die as chaste (pure and untouched) as Diana, the virgin goddess. She laments her…

• ESSAY LAB

Please, help me pick a short story!!I’m assigned to write an essay about 7-10 pages, but i don’t…

Much of being able to select a short story is going to have to be based on your own preferences. I think that advice can be given, but this is going to have to be based on your analysis. A good…

• WAITING FOR GODOT

Discuss Waiting for Godot as a religious/biblical allusion play.

Beckett himself argued that the play was not to be read as a statement about God. Yet, there is much here to suggest an overall statement about the nature of totality or transcendence is being…

Comment on the following, “The future of a business cannot be safe if its information is not safe”.

This statement makes a great deal of sense. For many, if not all, firms, information is a key to future success. I think that this is true of at least two kinds of information — information…

Can someone help me put something on a 10-15 PowerPoint slides from the employee handbook?

Without seeing the handbook or knowing its contents, it will be hard for anyone to offer up some meaningful insight to what needs to be in the slide show. I would progress in the following manner….

• FAHRENHEIT 451

In Fahrenheit 451, what role does Professor Faber play in Montag’s development as a character,…

Apart from Clarisse, Professor Faber may be the most important influence on Montag in the novel. He guides Montag through his transformation, encouraging the protagonist to explore the books he’s…

• POETRY

What four lessons about life is poet Roger McGough trying to teach in his poem “The Way Things Are”?

One view of “what four lessons about life” poet Roger McGough is teaching in his amusing and ironic poem “The Way Things Are” is that he is teaching lessons about life, time, reality, and wisdom….

• HISTORY

Why did the seafaring empires in the Indian Ocean region succeed while the Ottoman, Safavid, and…

This is an excellent question. The Ottoman, Safavid, and Mughal empires all had one important element in common. Each of these empires were largely land-based. That is not to say that they did…

• HISTORY

Regarding Charles Lindbergh’s 1941 Radio Address; what historical precedents did Lindbergh cite…

Consistent with his approach to stay out of the war, Lindbergh took a couple of historical tracts to defend his point of view. The first was pragmatic in that he argued that American forces could…

• NORA EPHRON

In “Heartburn”, explain the connections between happiness and food: material and emotional…

You might find that there is some overlap between this question and the one previously asked. Rachel’s drive as a food critic and food analyst allows her to create great masterpieces, critique…

• NORA EPHRON

In “Heartburn” what is the role of food in building and maintaining relationships?

I think that Rachel ends up learning that there are some connections and divergent paths between food preparation and relationship building. There is a certain level of zeal, passion, and…

• GREAT EXPECTATIONS

In Great Expectations, how does Dickens use setting to enhance readers’ understanding of Miss…

In Great Expectations, the description of the setting of Miss Havisham’s property parallels the description of Miss Havisham herself, enhances the reader’s perception. When Pip arrives at the…

• MATH

Find linear regression equation, y = ax + b. The data of following table gives the weekly…

In statistics, a linear regression refers to finding a model that fits the data to a linear equation. There are several methods for doing this, such as Least Squares, principle component…

• MATH

If FC=2540; VC=120; S=168 and capacity = 278 units, then what are the unit sales if there is net…

We have: FC = 2540 VC = 120 Then the total cost = VC + FC = 2540+120= 2660 We know that the loss= 290 Then the total selling= total cost -total loss = 2660 -290…

• MATH

How do you describe the distribution in a data statistically? For example, describe the…

There are 3 of variables given: height, belly button height and foot length. We explain distribution in respect of the variable height. You can apply the same idea to the other two variables. Here…

• THE KITE RUNNER

Why is the difference of Hassan NOT having a cleft lip in the movie important, as opposed to…

Don’t you hate it when a potentially fine film changes important aspects of the novel? The Kite Runner is one terrific novel, but the movie adaptation (though good in some parts) leaves much to be…

• ENDER’S GAME

Where is Ender in the computer game? What does he see in the mirror after he defeats the snake?…

At Battle School, Ender plays an open-ended adventure game that seems to have no clear point/ultimate goal. Ender is often frustrated by the game, and finds himself stuck at a particular point. He…

• ENDER’S GAME

In Ender’s Game Chapter 7, why are the adults the real enemies?

The thing the kids at Battle School have largely forgotten is that they are in training for a real war. So many of them are so wrapped up in the “games” and battles against other armies, that they…

• WATERSHIP DOWN

How does Adams show the importance of individual contribution to a group in Watership Down?

Each of the initial rabbits who leave the warren have specific skills to contribute. Fiver’s original premonition leads them to escape the warren, which is gassed by humans, and he correctly…

• TO KILL A MOCKINGBIRD

BildungsgromenHello in Literature land:I am a teacher with a ninth grade Intro to Literature…

Great Expectations is often on the canon of ninth grade literature, and is also a bildungsroman. In this great novel there are instances in which Pip, who aspires to be a gentleman, becomes ashamed…

• SEEDFOLKS

List some of the problems that the gardeners encounter.How do…

Phone: \$20

• ANNA KARENINA

What are the themes in Anna Karenina?

Anna Karenina’s basic karmic theme is that love nor happiness can ever occur if it involves sacrificing the feelings of others. In other words, only self-sacrifice (not sacrificing your family,…

• ANNA KARENINA

What are some famous lines or thoughts from Anna Karénina by Leo Tolstoy, and what philosophy do…

One of Tolstoy’s philosophies was that he tried (and his characters often try) to live by the Golden Rule. He said so quite literally in “Confessions” : What am I? A part of the infinite. It is…

• HISTORY

Was Lindbergh a pragmatist or an idealist? What are examples that would show me better of him…

You might encounter some different levels of discussion with this topic. To be honest, I might come across as a bit critical of Lindbergh and I willingly accept this, so take it as you will. I…