6. Exponential & Logarithmic Functions

If the statement is in exponential form, write it in an equivalent logarithmic form. If the statement is in logarithmic form, write it in exponential form. 3^4 = 81

In Exercises 13–15, write each equation in its equivalent exponential form. 1/2 = log49 7

In Exercises 9–20, write each equation in its equivalent logarithmic form. ∛8 = 2

In Exercises 9–20, write each equation in its equivalent logarithmic form. 13^2 = x

In Exercises 13–15, write each equation in its equivalent exponential form. log3 81 = y

If the statement is in exponential form, write it in an equivalent logarithmic form. If the statement is in logarithmic form, write it in exponential form. log￬5 5 = 1

In Exercises 9–20, write each equation in its equivalent logarithmic form. b^3 = 1000

In Exercises 16–18, write each equation in its equivalent logarithmic form. 13^y = 874

In Exercises 9–20, write each equation in its equivalent logarithmic form. 7^y = 200

In Exercises 19–29, evaluate each expression without using a calculator. If evaluation is not possible, state the reason. log5 (1/5)

Solve each equation. x = log￬3 1/81

In Exercises 21–42, evaluate each expression without using a calculator. log4 16

In Exercises 19–29, evaluate each expression without using a calculator. If evaluation is not possible, state the reason. log16 4

Solve each equation. log￬x 27/64 = 3

In Exercises 21–42, evaluate each expression without using a calculator. log2 64