6. Exponential & Logarithmic Functions

Solve each equation. x = log￬8 ∜8

Solve each equation. x = log￬7 ⁵√7

In Exercises 21–42, evaluate each expression without using a calculator. log3 27

In Exercises 21–42, 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 e^5

In Exercises 21–42, evaluate each expression without using a calculator. log2 (1/8)

In Exercises 21–42, evaluate each expression without using a calculator. log7 √7

Solve each equation. log￬x 25 = -2

In Exercises 21–42, evaluate each expression without using a calculator. log2 (1/√2)

Solve each equation. log￬4 x = 3

Solve each equation. log￬2 x = 3

In Exercises 21–42, evaluate each expression without using a calculator. log64 8

Solve each equation. x = log￬4 ∛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) = logx, g(x) = log(-x), h(x) = log(2-x), r(x)= 1+log(2-x)

In Exercises 21–42, evaluate each expression without using a calculator. log5 5