6. Exponential and Logarithmic Functions

Write the log expression as a single log.

$\log_2\frac{1}{9x}+2\log_23x$

Write the log expression as a single log.

$\ln\frac{3x}{y}+2\ln2y-\ln4x$

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

$\log_3\left(\frac{\sqrt{x}}{9y^2}\right)$

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

$\log_317$

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.

$\log_841$

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

$\log_23789$