6. Exponential & Logarithmic Functions

Write each equation in its equivalent logarithmic form. 2^-4 = 1/16

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. 3⁴ = 81

Write each equation in its equivalent logarithmic form. ∛8 = 2

Write each equation in its equivalent logarithmic form. 13² = x

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. log₅ 5 = 1

Write each equation in its equivalent logarithmic form. b³ = 1000

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

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 = log₃ 1/81

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