Question

Given the function f(x) = 0.5(3)x, what is the value of f−1(7)?

Answer 1

sO far, i have x=0.5(3)y

Answer 2

\(\Large f(x) = (0.5 ) 3^x\)

\(\Large 7 = (0.5)3^x\)

Solve for x.

Answer 3

7=1.5^x

Answer 4

No. You can't multiply 0.5 by 3 since 3 is raised to x.
What you can do is divide both sides by 0.5.
Then take log of both sides.

Answer 5

Look at this example. See why you can't multiply the 0.5 and the 3 together because of the exponent.