Question

Which of the following is the inverse of y = 3∧x

y = 1/3∧x
y = ㏒3x
y = (1/3) ∧x
y = ㏒ 1/3∧x

Answer 1

Anwser is B on edg because the anwser is B

Answer 2

Inverse of given function = log(x)/log(3)

Explanation:

How to find the inverse of any function?

1. In the complete function, replace y with "x" and x with "y"
2. Then, solve the obtained equation from step 2 for y
3. And, then the value obtained for "y" is the inverse required i.e. = f^{-1}(x)

Now, we solve the problem:

Given :- y = 3^x

replacing the value of "y" with "x", we get,

x = 3^y

to solve for "y" we should take the "logarithm" for both sides

log (x) = y log(3)

or y = log(x)/log(3)

or f^(-1) (x) = log(x)/log(3)