Solve for x Solve 3^(x+6)=3^4

Solve $3^{x + 6} = 3^{4}$

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

$3^{x + 6} = 3^{4}$

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

$x + 6 = 4$

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

Subtract $6$ from both sides of the equation.

$x = 4 - 6$

Subtract $6$ from $4$ .

$x = - 2$