What is the inverse of the given function? f (x) = −6^x

f(x)=6x
f1(x)=?

1 Answer
Jun 18, 2018

y=log6(x)

Explanation:

*I'm assuming that the base is 6x and not (6)x.

If it is the first: switch the variables so you have x=6y
Next, take the log base 6 of both sides log6x=log6(6y)
One logarithm law states that log6(6y) can be written as ylog66 and log66=1 so just y.
Finally, we have y=log6(x)