Simple Arithmetic

To solve for x, we need to simplify both sides in order to make the equation simpler to solve.

64 can be rewritten as ${\displaystyle 4^3}$, and ${\displaystyle \frac{4^6}{4^x}}$ can be written as ${\displaystyle 4^{6-<!--\; -\; -->x}}$

Setting the two sides equal to each other gives us

${\displaystyle 4^3=4^{6-<!--\; -\; -->x}}$

Since the bases are the same we can set the exponents equal to each other.

${\displaystyle 3=6-<!--\; -\; -->x}$

${\displaystyle x=3}$