Question

If $\frac{\log 25}{\log 5}=\log x$, then $x=2$
If true then write 1 and if false then write 0.

Answer 1

$\frac{\log 25}{\log 5}=\log x$
$\therefore \frac{\log 5^2}{\log 5}=\log x$ ....($\log a^b=b\log a$)
$\therefore \log x=2$
$\therefore \log x=\log 100(\log 100=2)$
$\therefore x=100$
Hence, it is a false statement.