Question

If log x square - log x = 2, then find the value of x ?

Answer 1

Hello,

Given,

log x^2 - log x = 2

We know that

$log( {a}^{2} ) = 2 log(a)$

Similarly,

log x^2=2log x

ie, 2log x- log x = 2

log x(2-1) =2

log x =2

We know that,

$if \: \: \: \: log_{e}(a) = b \\ then \: \: a = {e}^{b}$

Similarly

x=e^2

x=7.3890

Hope this is clear!