Question

if (2^{2x} = 2^3), what is the value of (x)?

(\frac{2}{3})

(\frac{3}{2})

(2)

(3)

Explanation:

⚡ Using what you learned: Solving Exponential Equations

Step 1: Equate the exponents

Since the bases on both sides of the equation are the same, set their exponents equal to each other:

$$ 2x = 3 $$

Step 2: Solve for \( x \)

Divide both sides by \( 2 \):

$$ x = \frac{3}{2} $$

Answer:

$$ \frac{3}{2} $$