Finding Exponents of Equal Bases

Consider the expression $$16^{x}$$, where $$x$$ is a positive integer. If $$16^{x} = 256$$, what is the value of $$x$$?

To solve for $$x$$, start by writing both sides of the equation with the same base. Remember that $$16$$ can be expressed as a power of $$2$$. Therefore, rewrite the equation as follows:

$$16 = 2^4$$

Now, substitute and simplify the equation.