Question

algebra: concepts and connections - plc solving exponential equations by rewriting the base if (2^{2x}=2^3), what is the value of (x)? (\frac{2}{3}) (2) (-2) (\frac{3}{2})

Explanation:

Step1: Set exponents equal (same base)

Since the bases are equal ($2=2$), we equate the exponents:
$2x = 3$

Step2: Solve for x by dividing

Divide both sides by 2 to isolate $x$:
$x = \frac{3}{2}$

Answer:

$\frac{3}{2}$