#### Answer

$\log$$_{8}$64 = 2

#### Work Step by Step

To put the problem ($\log$$_{8}$64) into words it is simply asking:
8 to the what power equals 64?
To make this simpler to read, you can rewrite this into exponential form. To do this, you would write it as:
$8^{x}$ = 64
Now that the problem is easier to read, you can use multiplication to figure out what x equals.
8$\times$8=64
Since it takes 8 multiplying itself two times to get to 64, x = 2.
So to write it into logarithm form, you have to answer what the problem is asking:
8 to what power equals 64? 2
$\log$$_{8}$64 = 2