Question

the x-intercept of the graph of f(x)=3log(x+5)-2 is
A) 10^2/3 +5 B) 10^-2/3 +5 C) 10^-2/3 -5 D) 10^2/3 -5

Answer 1

well set f(x) =0 and solve

so

0 = 3log(x + 5) -2

2 = 3log(x + 5)

2/3 = log(x + 5)

\[10^{\frac{2}{3}} = x + 5\]

it should be easy from here...

hope it helps

Answer 2

I got 10\[10^{\frac{ 2 }{ 3}} -5\]

Answer 3

that looks good to me