CPM Homework Help : INT3 Problem 8-116

Solve $16^{\left(x+2\right)} = 8^{x}$ .

Hint:

Rewrite both sides of the equation with a base of $2$ .

Step 1:

$\left(2^4\right)^{\left(x+2\right)}=\left(2^3\right)^x$

Step 2:

$2^{4\left(x+2\right)}=2^{3x}$ If the bases are equal, then the exponents need to be made equal.