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

Answer:
C
Step-by-step explanation:
To find the x- intercept let f(x) = 0 , then
3log(x - 5) + 2 = 0 ( subtract 2 from both sides )
3log(x - 5) = - 2 ( divide both sides by 3 )
log(x - 5) = - [tex]\frac{2}{3}[/tex] , then
x - 5 = [tex]10^{-\frac{2}{3} }[/tex] ( add 5 to both sides )
x = [tex]10^{-\frac{2}{3} }[/tex] + 5 → C