Question

Find the value of x if log3 625=x
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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(\log (5))/(\log (3))=x`
`[\because \log_ab=(\log_xb)/(\log_xa)]`

`4* (0.69897)/(0.47712)=x`

`x\approx 5.8599`

Therefore, the value of x is about 5.8599.