#### Answer

$\log$$_{4}$64 = 3

#### Work Step by Step

To put the problem ($\log$$_{4}$64) into words it is simply asking:
4 to the what power equals 64?
To make this simpler to read, you can rewrite this into exponential form. To do this, you would write it as:
$4^{x}$ = 64
Now that the problem is easier to read, you can use multiplication to figure out what x equals.
4$\times$4$\times$4=64
Since it takes 4 multiplying itself three times to get to 64, x = 3.
So to write it into logarithm form, you have to answer what the problem is asking:
4 to what power equals 64? 3
$\log$$_{4}$64 = 3