Solve for x 4^(x+3)=64

$4^{x + 3} = 64$

Step 1

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

$4^{x + 3} = 4^{3}$

Step 2

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

$x + 3 = 3$

Step 3

Move all terms not containing $x$ to the right side of the equation.

Subtract $3$ from both sides of the equation.

$x = 3 - 3$

Subtract $3$ from $3$ .

$x = 0$