How do you find the inverse of $y=log_6 x+5$ ?

Question

1887 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-05-18T11:23:56

$x=6^y/7776$

If $y=log_b x$ , the inverse relation is $x=b^y$ .

Here, $(y-5)=log_6 x$ , and so, the inverse is

$x=6^(y-5)=6^y6^(-5)=6^y/6^5=6^y/7776$

How do you find the inverse of y=log_6 x+5 y=log_6 x+5 ?