Given the function f(x) = log_3(x+4), what is the value of f^-1(3)?

Abraham Banks

Abraham Banks

Answered question

2022-12-30

Given the function f(x)=log3(x+4), what is the value of f1(3)?

Answer & Explanation

Diamond Stephens

Diamond Stephens

Beginner2022-12-31Added 5 answers

We have,
f(x)=log3(x+4)
We must first find the logarithm's inverse. Rewrite the logarithm in exponential form to accomplish this.
y=log3(x+4)
3y=x+4
Swap the positions of x and y.
3x=y+4
Solve for y.
y=3x4
Substitute x=3.
y=334
Solve for y.
y=274
y=23
aaf1(x)=23aa

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?