Solve for a 64^a=8^(a+2)

$64^{a} = 8^{a + 2}$

Step 1

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

$8^{2 a} = 8^{a + 2}$

Step 2

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

$2 a = a + 2$

Step 3

Move all terms containing $a$ to the left side of the equation.

Subtract $a$ from both sides of the equation.

$2 a - a = 2$

Subtract $a$ from $2 a$ .

$a = 2$