Question

Given $\log x=m+n$ and $\log y=m-n$, express the value of $\log \frac{10x}{y^2}$ in terms of $m$ and $n$.

Answer 1

Given $\log x=m+n,\log y=m-n$

$\log \frac{10x}{y^2}=\log 10+\log x-2\log y=\log 10+m+n-2(m-n)=\log 10+3n-m$