Question

Find the value of x if log3 625=x​

Answer 1

Given:

The equation is

$\log_3625=x$

To find:

The value of x.

Solution:

We have,

$\log_3625=x$

It can be written as

$\log_3(5)^4=x$

$4\log_3(5)=x$              $[\because \log x^n=n\log x]$

$4\dfrac{\log (5)}{\log (3)}=x$               $[\because \log_ab=\dfrac{\log_xb}{\log_xa}]$

$4\times \dfrac{0.69897}{0.47712}=x$

$x\approx 5.8599$

Therefore, the value of x is about 5.8599.