Question

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

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

For exponential - functions with the same base ($a^m=a^n$ implies $m = n$ when $a>0,a
eq1$), we have $3x = 6$.

Step3: Solve for x

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

Answer:

A. 2