6. Exponential & Logarithmic Functions

Evaluate each expression without using a calculator. log₅ 5⁷

Write each equation in its equivalent exponential form. 2 = log₉ x

In Exercises 101–104, write each equation in its equivalent exponential form. Then solve for x. log₄x=-3

Evaluate or simplify each expression without using a calculator. $e^{\ln 5x^2}$

Change the following exponential expression to its equivalent logarithmic form.

$3^{x}=7$

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. log₄ 1/64 = -3

Evaluate or simplify each expression without using a calculator. In (1/e⁶)

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

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

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

Evaluate or simplify each expression without using a calculator. In e

Graph each function. Give the domain and range. ƒ(x) = log_1/2 (x-2)

Without using a calculator, find the exact value of log₄ [log₃ (log₂ 8)].

Solve each equation. log_x 27/64 = 3

Graph each function. ƒ(x) = log_1/2 (x+3) - 2