Question

If $lo{g}_{10}x=a$, find the value of ${10}^{a-1}$ in terms of x.

Answer 1

We have,

$lo{g}_{10}x=a,$

$\Rightarrow x={10}^a\dots \left(i\right)$

Now, ${10}^{a-1}={10}^a\times {10}^{-1}$

$=\frac{{10}^a}{10}$

$=\frac{x}{10}$ [using (i)]