Question

Algebra Two Help:
Given the function f(x) = log5(x + 1), find the value of f^−1(2).

Answer 1

find the value of what?

Answer 2

inverse ?

Answer 3

inverse of the function f(x)=log5(x+1)

Answer 4

y = log5(x+1)
you hav to write this in the exponential form
from the function you see that the base 10 raised to the power of y is equal to
5(x+1) right?

Answer 5

The base is five. I'm not sure how to properly type out logs. The exponential form would be x=5^(x+1), right?

Answer 6

oh, so it's log base 5 of (x+1)?

Answer 7

yes

Answer 8

right, then the base 5^y = x+1, in exponential form

Answer 9

subtracting 1 from both sides 5^y -1 = x
we're looking for the inverse, then we swap x and y
5^x - 1 = y
f^-1(2) = 5^(2) - 1

Answer 10

so 24

Answer 11

yeah

Answer 12

Thank you so much1

Answer 13

no problem