Solve for x

Question

2^2x+2=2^3x

Answer 1

To solve the equation \(2^{2x + 2} = 2^{3x}\), we can use the property of exponents that states if the bases are the same, we can set the exponents equal to each other:

\[ 2x + 2 = 3x \]

Now, we can isolate \(x\) by rearranging the equation. First, subtract \(2x\) from both sides:

\[ 2 = 3x - 2x \]

This simplifies to:

\[ 2 = x \]

So, the solution is:

\[ x = 2 \]