if $2^{2x}=2^{3}$, what is the value of $x$?\n$\frac{2}{3}$\n$\frac{3}{2}$\n$2$\n$3$
if $2^{2x}=2^{3}$, what is the value of $x$?\n$\frac{2}{3}$\n$\frac{3}{2}$\n$2$\n$3$
Answer
Explanation:
Step1: Apply exponent - rule
If $a^m=a^n$, then $m = n$. Here, since $2^{2x}=2^3$, we have $2x = 3$.
Step2: Solve for x
Divide both sides of the equation $2x = 3$ by 2. So $x=\frac{3}{2}$.
Answer:
B. $\frac{3}{2}$