Evaluate 4^(5x)=4^10

$4^{5 x} = 4^{10}$

Create equivalent expressions in the equation that all have equal bases.

$4^{5 x} = 4^{10}$

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

$5 x = 10$

Divide each term in $5 x = 10$ by $5$ and simplify.

Divide each term in $5 x = 10$ by $5$ .

$\frac{5 x}{5} = \frac{10}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{10}{5}$

Divide $x$ by $1$ .

$x = \frac{10}{5}$

Simplify the right side.

Divide $10$ by $5$ .

$x = 2$