Answer
(a) $x = 2\cdot \log{5}$
(b) $x \approx 1.397940$
Work Step by Step
(a)
Take the common logarithm of both sides to obtain:
$\log{10^x} = \log{25}$
Use the rule $\log{10^n} = n$ to obtain:
$x = \log{25}
\\x=\log{(5^2)}$
Use the rule $\log{(a^n)} = n\log{a}$ to obtain:
$x = 2\cdot \log{5}$
(b) Use a calculator to evaluate the answer and have:
$x \approx 1.397940$