Question

if logx/log3=log25/log9 then x=​

Answer 1

$Given \: \frac{log x }{log 3} = \frac{log 25}{log 9}$

$\implies \frac{log x }{log 3} = \frac{log 5^{2}}{log 3^{2}}$

$\implies \frac{log x }{log 3} = \frac{\cancel {2} log 5}{\cancel {2} log 3}$

/* By Logarithmic law */

$\boxed{\pink{log a^{m} = m log a }}$

$\implies \frac{log x }{log 3} = \frac{ log 5}{log 3}$

/* Compare bothsides we get */

$\implies x = 5$

Therefore.,

$\red{ Value \:of \:x} \green{= 5}$

•••♪