# Logarithmic Equation

• May 14th 2012, 05:22 PM
iFuuZe
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
• May 14th 2012, 05:53 PM
Reckoner
Re: Logarithmic Equation
Quote:

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?

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

Using our properties of logarithms, we have

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

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

$(\ln x)(\ln x - 2) = 0$
• May 14th 2012, 05:55 PM
howdigethere
Re: Logarithmic Equation
$(\ln x)^2 = \ln (x^2) \rightarrow (\ln x)(\ln x) = \ln (x \cdot x)$