Question

Find the x-intercept of the function: f(x) = 6^x - 2. Round answer to the nearest hundredth, if necessary.

Answer 1

x = log base 4 of 2

Explanation:

I'm assuming this is truly an exponential function as you state and not a mistype.

Answer 2

6^x = 2

Take the log of each side:

x · log(6) = log(2)

Divide each side by log(6):

x = log(2) / log(6)

x = 0.30103 / 0.77815

x = 0.3869... (rounded)