Question

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

Answer 1

Answer:

B

Step-by-step explanation:

The point or points where a graph cuts the x axis can be found if you solve the equation f(x) = 0.

$3 log(x + 5) - 2 = 0 \\ 3 log(x + 5) = 2 \\ log(x + 5) = \frac{2}{3} \\ {10}^{ log(x + 5) } = {10}^{ \frac{2}{3} } \\ x + 5 = {10}^{ \frac{2}{3} } \\ x = {10}^{ \frac{2}{3} } - 5$