0. Functions

Which of the following lists the correct values for $\ln \left(e\right)$, $\ln \left(e^{2x}\right)$, and $\ln \left(1\right)$, respectively?

Evaluate the given logarithm using the change of base formula and a calculator. Use the common log.

$\(\log\)_967$

Evaluate the given logarithm using the change of base formula and a calculator. Use the natural log.

$\(\log\)_841$

Write the single logarithm as a sum or difference of logs.

$\(\log\)_3\(\left\)(\(\frac{\sqrt{x}\)}{9y^2}\(\right\))$

Write the log expression as a single log.

$\(\log\)_2\(\frac{1}{9x}\)+2\(\log\)_23x$

Evaluate the given logarithm using the change of base formula and a calculator. Use the common log.

$\(\log\)_317$

Evaluate the given logarithm.

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

Evaluate the given logarithm using the change of base formula and a calculator. Use the natural log. 

$\(\log\)_23789$

Evaluate the given logarithm.

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

Write the single logarithm as a sum or difference of logs.

$\(\log\)_5\(\left\)(\(\frac{5\left(2x+3\right)^2}{x^3}\)\(\right\))$

Evaluate the given logarithm.

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

Write the log expression as a single log.

$\(\ln\)\(\frac{3x}{y}\)+2\(\ln\)2y-\(\ln\)4x$