Answer to Question #275314 in Algebra for Good heart

Question

Find X in log6 x= ‐2

Answer 1

Solution.

For equation $\log_ax=b$ we find solution as $x=a^b.$

So, we have

$\log_6x=-2$ $x=6^{-2}\newline x=(\frac{1}{6})^2$ $x=\frac{1}{36}$

Answer. $x=\frac{1}{36}.$