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