20. Exponential and Logarithmic Functions

Rewrite the log expression as a difference of multiple logs. Further simplify if possible.

${\log }_2\left(\frac{x}{6}\right)$

Rewrite the log expression as the sum or difference of multiple logs.

${\log }_2\left(\frac{3a^2{b}^4}{\sqrt{5c^4}}\right)$

Rewrite the sum as a single logarithm. Further simplify if possible.

${\log }_{10}x+{\log }_{10}(x+2)$

Determine if the given log statement is true or false. 

${\log }_{2}48={\log }_{2}3+4{\log }_{2}2$

Rewrite the log expression as a sum of multiple logs. Further simplify if possible.

$lo{g}_{10}(5\cdot 7)$

Use the power property to rewrite the log expression.

${\log }_9{5}^4$