Use the power property to rewrite the log expression.
${\log }_6\frac{1}{\sqrt{m}}$

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

${\log }_3(x^2+1)-{\log }_3(4x-2)$

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

${\log }_{5}24-{\log }_{5}8$

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

${\log }_{10}\left(8x^2\right)-{\log }_{10}\left(2x\right)$

Use the power property to rewrite the log expression.

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

Use the power property to rewrite the log expression.

${\log }_2{(x+1)}^2$

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

${\log }_{10}\left(\frac{8x^3}{5y}\right)$

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 log expression as a single log.

${\log }_{3}5+2{\log }_{3}x-{\log }_{3}2$