6. Exponential & Logarithmic Functions

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

Evaluate each expression without using a calculator. log₂ 64

Solve each equation. $x={\log }_8\sqrt[4]{8}$

Solve each equation. $x={\log }_7\sqrt[5]{7}$

Evaluate each expression without using a calculator. log₃ 27

Evaluate each expression without using a calculator. log₅ (1/5)

In Exercises 19–29, evaluate each expression without using a calculator. If evaluation is not possible, state the reason. ln e⁵

Evaluate each expression without using a calculator. log₂ (1/8)

Evaluate each expression without using a calculator. log₇ √7