Question

What is the inverse of this function? Will write the function below.

Answer 1

\[y=\log _{4}x\]

Answer 2

start by swapping x and y

Answer 3

\[x = \log_{4} y\]

Answer 4

any ideas how to get rid of that "log4"?

Answer 5

Sorry, I don't......

Answer 6

we can re-write both sides in base 4

Answer 7

\[4^x = 4^{\log_{4}y}\]

Answer 8

What would you do next? I am totally lost!

Answer 9

the "4log4" cancels out

Answer 10

This is my first time dealing with logs

Answer 11

so you get

\[4^{x} = y\]

Answer 12

Ahh, that makes sense! So first you swap the x and y. Then you you write the base of whatever the b is. And then the \[b ^{\log _{b}}\]cancels each other out. And then you get your answer. Am I right?

Answer 13

yup! good job!

Answer 14

Awesome! Thank you very much! My Algebra 2 book does not tell me how to do this so thought I would ask! =) Again, thank you!