# How do you solve Log(x)-2=log(x-4)?

Mar 28, 2018

x=4/99

#### Explanation:

$\log \left(x\right) - 2 = \log \left(x - 4\right)$

$\frac{x}{10} ^ 2 = x - 4 , \iff x > 0 \mathmr{and} x > 4$

$\frac{x}{10} ^ 2 - x = - 4$

$x - 100 x = - 400$

$- 99 x = - 400$

$x = \frac{400}{99}$

x>4 so the solution is correct.