How do you find the inverse of $y=log_6x$ ?

Question

1593 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-12-30T21:21:34

$x=6^y$

When you use a logarithm, you are finding the exponent applied to the base (in this case, 6) used to reach $x$ .

Therefore, the inverse operation would be to apply a given exponent $y$ to the base ( $6^y$ , in this case), yielding $x$ .

How do you find the inverse of y=log_6xy=log_6x?