Question

The x-intercept of the graph of ƒ(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

The x intercept is where y=0
0=3log(x+5)+2
-2/3=log(x+5)
\[10^{\frac{-2}{3}}=x+5 \rightarrow x=10^{\frac{-2}{3}}-5\approx -4.78\]

Answer 2

Choice C.

Answer 3

thanks!