1. ## Logarithmic Equation

hi guys i know very well on how to solve equtions like this but im a little confused with this one, im thinking the answear is just 1?

(In(x))^2=In(x)^2

2. ## Re: Logarithmic Equation

Originally Posted by iFuuZe
hi guys i know very well on how to solve equtions like this but im a little confused with this one, im thinking the answear is just 1?

(In(x))^2=In(x)^2
Is this the equation?

$\displaystyle (\ln x)^2=\ln(x^2)$

Using our properties of logarithms, we have

$\displaystyle (\ln x)^2=2\ln x$

$\displaystyle (\ln x)^2-2\ln x=0$

$\displaystyle (\ln x)(\ln x - 2) = 0$

3. ## Re: Logarithmic Equation

$\displaystyle (\ln x)^2 = \ln (x^2) \rightarrow (\ln x)(\ln x) = \ln (x \cdot x)$