6. Exponential & Logarithmic Functions

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

Solve each equation. log_x 25 = -2

Evaluate each expression without using a calculator. log₂ (1/√2)

Solve each equation. log₄ x = 3

Solve each equation. log₂ x = 3

Evaluate each expression without using a calculator. log₆₄ 8

Solve each equation. $x={\log }_4\sqrt[3]{16}$

In Exercises 32–35, the graph of a logarithmic function is given. Select the function for each graph from the following options: f(x) = log x, g(x) = log(-x), h(x) = log(2-x), r(x)= 1+log(2-x)