# logarithim question

• December 18th 2009, 08:29 AM
extraordinarymachine
logarithim question
not sure how i go about solving this

determine the point(s) of intersection of the functions $f(x)=logx$ and $g(x) = \frac{1}{2}log(x+1)$
• December 18th 2009, 09:29 AM
red_dog
You have to solve the equation $f(x)=g(x)$.

$\log x=\frac{1}{2}\log(x+1)$

$2\log x=\log(x+1)\Rightarrow \log x^2=\log(x+1)\Rightarrow x^2=x+1$

Now solve the quadratic and take only the positive root.