6. Exponential & Logarithmic Functions

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

Change the following logarithmic expression to its equivalent exponential form.

$\(\log\)_4x=5$

Change the following logarithmic expression to its equivalent exponential form.

$x=\(\log\)9$

Change the following exponential expression to its equivalent logarithmic form.

$3^{x}=7$

Change the following exponential expression to its equivalent logarithmic form.

$e^9=x+3$

Evaluate the given logarithm.

$\(\log\)_77^{0.3}$

Evaluate the given logarithm.

$\(\frac\)32\(\log\)1$

Evaluate the given logarithm.

$\(\log\)_9\(\frac{1}{81}\)$

Write each equation in its equivalent exponential form. 4 = log₂ 16

Write each equation in its equivalent exponential form. 2 = log₃ x

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

Write each equation in its equivalent exponential form. 5= log_b 32

Write each equation in its equivalent exponential form. log₆ 216 = y

Write each equation in its equivalent logarithmic form. 5⁴ = 625