Question

Find the value of $\frac{{\log }_{10}5+1}{{\log }_{10}50}$

Answer 1

We know ${log}_{10}a+{log}_{10}b={log}_{10}\left(ab\right)$

and ${log}_{10}10=1$.

So $\frac{1+{log}_{10}5}{{log}_{10}50}$
$\Rightarrow \frac{{log}_{10}10+{log}_{10}5}{{log}_{10}50}=\frac{{log}_{10}(10\times 5)}{{log}_{10}50}=1$