Question

The x-intercept of the graph of f(x)=3log(x+5)-2 is ?

Answer 1

to find x-intercept set y=0
so replace f(x) with 0
and solve for x
0=3log(x+5)-2

Answer 2

And then I'll get 10^2/3+5 right ?

Answer 3

so you add 2 on both sides
then divided 3 on both sides
then do 10^ on both sides
then subtract 5 on both sides?
\[2=3 \log(x+5) \\ \frac{2}{3}=\log(x+5) \\ 10^\frac{2}{3}=x+5\]

Answer 4

it looks you added 5 on one side and subtracted 5 on the other
remember you are suppose to do the same thing to both sides
so if you subtract 5 on that one side then you need to subtract 5 on the other