not sure how i go about solving this

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

Printable View

- Dec 18th 2009, 08:29 AMextraordinarymachinelogarithim question
not sure how i go about solving this

determine the point(s) of intersection of the functions $\displaystyle f(x)=logx $ and $\displaystyle g(x) = \frac{1}{2}log(x+1)$ - Dec 18th 2009, 09:29 AMred_dog
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.