Question

Question #382f7

Answer 1

`x=9998`

Explanation:

Isolate log(x+2) by dividing both sides by `1/2`

`rArrlog(x+2)=4`

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(log_b x=nhArrx=b^n)color(white)(2/2)|)))`

`color(blue)"Note"`

`log(x+2)" represents" log_(10)(x+2)`

`log_(10)(x+2)=4rArrx+2=10^4=10000`

`rArrx=10000-2=9998`