# Math Help - Logs

1. ## Logs

Solve the equation for x

(1/2)log(x+2) + log5=1

Books answer is 2. My process must be off or something because I keep getting x=18.

2. Originally Posted by OzzMan
Solve the equation for x

(1/2)log(x+2) + log5=1

Books answer is 2. My process must be off or something because I keep getting x=18.
$\frac 12 \log (x + 2) + \log 5 = 1$

$\Rightarrow \log \sqrt{x + 2} + \log 5 = 1$

$\Rightarrow \log (5 \sqrt{x + 2}) = 1$

now continue

3. wow thanks that was extremely easy. don't know what i was doing wrong b4 that.