Use the One-to-One Property to solve the equation for .

# Use the One-to-One Property to solve the equation for .

• MATH

Use the properties of logarithms to expand the expression as a sum,…

Expand by using subtraction, Given,  Then, expanding and bringing down the exponent where necessary,

• MATH

Use the properties of logarithms to expand the expression…

Expand using subtraction because the terms inside the log are being divided. Given,  Then,  Therefore, after bring down the…

• MATH

Use the properties of logarithms to expand the expression as…

Expand using subtraction because the terms are being divided in the ln. Given,  Then, after expanded and bringing down the exponents where necesarry

• MATH

Use the properties of logarithms to expand the expression as a…

Since all of the terms are multiplied together, one can expand by adding them together. Given,  Then,

• MATH

Use the properties of logarithms to expand the expression as a sum,…

Since all of the terms are multiplied, one can just expand by adding them all. Given,  Then, Separate all of the terms and bring the exponents down in front where necessary….

• MATH

Use the properties of logarithms to expand the expression as a sum, difference,…

Since all of the terms are being multiplied inside the ln, that means to expand them, one must rewrite them as added. Therefore, Given  Then,

• MATH

Use the properties of logarithms to expand the expression as a sum,…

Rewrite as  Bring down the exponent,

• MATH

Use the properties of logarithms to expand the expression as a sum,…

Bring down the exponent,  Therefore,

• MATH

Use the properties of logarithms to expand the expression as a sum,…

Expand using subtraction,  Bring down the exponent,

• MATH

Use the properties of logarithms to expand the expression as a sum,…

Expand using subtraction,

• MATH

Use the properties of logarithms to expand the expression as a sum,…

Expand by using subtraction,

• MATH

Use the properties of logarithms to expand the expression as a sum,…

Bring down the exponent,  Done. You cannot expand this log any further.

• MATH

Use the properties of logarithms to expand the expression as a sum,…

• MATH

Use the properties of logarithms to expand the expression as a sum, difference, and…

• MATH

Find the exact value of logarithmic expression without using a…

Given,  Condense,  Set equal to x

• MATH

Find the exact value of logarithmic expression without using a…

Given,  Condense  Set equal to x

• MATH

Find the exact value of logarithmic expression without using a…

Bring down the exponents,  Remember that Therefore,  Simplify,

• MATH

Find the exact value of logarithmic expression without using a…

Bring down the exponents,  Remember that Therefore,  Simplify,

• MATH

Find the exact value of logarithmic expression without using a…

Rewrite,  Bring down the exponent,  Remember that  Simplify,

• MATH

Find the exact value of logarithmic expression without using a calculator….

Rewrite  Bring down the exponent  Remember that  Simplify,

• MATH

Find the exact value of logarithmic expression without using a calculator. (If…

Bring down the exponent  Remember than  simplify,

• MATH

Find the exact value of logarithmic expression without using a calculator. (If…

Bring down the exponent  Remember that  Simplify,

• MATH

Find the exact value of logarithmic expression without using a calculator. (If…

The value of log_3(-27) is not defined,because the domain of a logarithmic function does not include negative values.

• MATH

Find the exact value of logarithmic expression without using a calculator. (If…

The value of  is not defined,because the domain of a logarithmic function does not include negative values.

• MATH

Find the exact value of logarithmic expression without using a calculator….

• MATH

Find the exact value of logarithmic expression without using a calculator….

• MATH

Find the exact value of logarithmic expression without using a…

log_6(6^(1/3))=(1/3)log_6(6) =0.333

• MATH

Find the exact value of logarithmic expression without using a…

• MATH

Find the exact value of logarithmic expression without using a calculator….

Rewrite log5 1/125 :  This gives:  , bring down the power  , rewrite 125 in term of power of 5  , again…

• MATH

Find the exact value of logarithmic expression without using a calculator. (If…

Set  Rewrite,

• MATH

Use the properties of logarithms to rewrite and simplify the logarithmic…

When you divide inside the ln, you subtract when you expand Bring down the exponent and remember than

• MATH

Use the properties of logarithms to rewrite and simplify the logarithmic expression.

Expand using addition bring down the exponent Remember that

• MATH

Use the properties of logarithms to rewrite and simplify the logarithmic…

• MATH

Use the properties of logarithms to rewrite and simplify the logarithmic…

• MATH

Use the properties of logarithms to rewrite and simplify the logarithmic…

• MATH

Use the properties of logarithms to rewrite and simplify the logarithmic…

You need to use a change of base formula to solve this. Use  since both  and  and powers of  ) This simplifies down to,

• MATH

Evaluate the logarithm using the change-of-base formula. Round your result…

• MATH

Evaluate the logarithm using the change-of-base formula. Round your result to…

=-1.048

• MATH

Evaluate the logarithm using the change-of-base formula. Round your result…

• MATH

Evaluate the logarithm using the change-of-base formula. Round your result to…

log_3(7) = (log_(10)(7))/(log_(10)(3)) = (0.8451)/(0.4771) =1.771

• MATH

Rewrite the logarithm as a ratio of (a) common logarithms and (b) natural…

(a) Common logarithms   (b) natural logarithms …

• MATH

Rewrite the logarithm as a ratio of (a) common logarithms and (b) natural…

(a) Common logarithms   (b) natural logarithms …

• MATH

Rewrite the logarithm as a ratio of (a) common logarithms and (b) natural…

• MATH

Rewrite the logarithm as a ratio of (a) common logarithms and (b) natural…

Common logarithmslog 5 16 = (log 10 16) / (log 10 5) Natural Logarithmslog 5 16 = (ln 16) / (ln 5)

• MATH

Use the One-to-One Property to solve the equation for .

Since there are ln’s on both side, they cancel and set the two parts equal to each other.  Solve for x  Factor   and

• MATH

Use the One-to-One Property to solve the equation for .

Since there are ln’s on both sides, set the terms equal to each other.  Solve for x  Factor  and

• MATH

Use the One-to-One Property to solve the equation for .

Since there are ln’s on both sides, set the terms equal to each other.  Solve for x

• MATH

Use the One-to-One Property to solve the equation for .

Since there are ln’s on both sides, set the terms equal to each other.  Solve for x

• MATH

Evaluate  at the indicated value of  without using a…

Plug in the value of x in   Bring down the exponent  Remember that  Simplify,

• MATH

Evaluate  at the indicated value of  without using a…

Plug in the value for x in   Bring down the exponent  Remember that  Simplify,