Question

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

Explanation:

Step1: Rewrite 64 as a power of 2

We know that $64 = 2^6$. So the equation $2^{3x}=64$ becomes $2^{3x}=2^6$.

Step2: Equate the exponents

Since the bases are the same (both are 2), we can set the exponents equal to each other. So $3x = 6$.

Step3: Solve for x

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

Answer:

d) 2