Question

If ${\log }_{10}x=2a$ and ${\log }_{10}y=\frac{b}{2}$, then ${10}^a$ in terms of $x$ is $\sqrt{x}$.

If true then write 1 and if false then write 0.

Answer 1

Given,

${\log }_{10}x=2a$
$x={10}^{2a}$

Taking square root on both side,

$\sqrt{x}={10}^a$

${10}^a$ in terms of $x$ is $\sqrt{x}$.