Question

question 19 (mandatory) (1 point) if 2^{3x}=64, then x is equal to a) 1 b) 4 c) 3 d) 2

Explanation:

Step1: Rewrite 64 as a power of 2

Since $64 = 2^6$, the equation $2^{3x}=64$ can be rewritten as $2^{3x}=2^6$.

Step2: Equate the exponents

If $a^m=a^n$, then $m = n$. So, for $2^{3x}=2^6$, we have $3x=6$.

Step3: Solve for x

Divide both sides of the equation $3x = 6$ by 3. We get $x=\frac{6}{3}=2$.

Answer:

D. 2