Question

Find $x$ if $2\log 5+\frac{1}{2}\log 9-\log 3=\log x$.

Answer 1

Given,

$2\log 5+\frac{1}{2}\log 9-\log 3=\log x$

or, $\log 5^2+\log 9^{\frac{1}{2}}-\log 3=\log x$

or, $\log 25+\log 3-\log 3=\log x$

or, $x=25$.