Question

4^(3x)= 16^(x-2)

Solve for x.

Answer 1

x = -4

Explanation:

4^(3x) = 16^(x-2)

First, we create equivalent expressions in the equation that all have equal bases.

4^3x = 4^2(x-2)

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

3x = 2(x − 2)

3x = 2x -4

x = -4

So, the answer is x = -4