# Thread: logarithim question

1. ## logarithim question

not sure how i go about solving this

determine the point(s) of intersection of the functions $\displaystyle f(x)=logx$ and $\displaystyle g(x) = \frac{1}{2}log(x+1)$

2. You have to solve the equation $\displaystyle f(x)=g(x)$.

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

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

Now solve the quadratic and take only the positive root.

### Logarithim question

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