#### Answer

$\log$$_{9}$81 = 2

#### Work Step by Step

To put the problem ($\log$$_{9}$81) into words it is simply asking:
9 to the what power equals 81?
To make this simpler to read, you can rewrite this into exponential form. To do this, you would write it as:
$9^{x}$ = 81
Now that the problem is easier to read, you can use multiplication to figure out what x equals.
9$\times$9=81
Since it takes 9 multiplying itself two times to get to 81, x = 2.
So to write it into logarithm form, you have to answer what the problem is asking:
9 to what power equals 81? 2
$\log$$_{9}$81 = 2