Question

question 19 (mandatory) (1 point)
if 4^{x - 2}=64, then x is equal to
a) 6
b) 5
c) 3
d) 4

Explanation:

Step1: Rewrite 64 as a power of 4

Since $64 = 4^3$, the equation $4^{x - 2}=64$ can be rewritten as $4^{x - 2}=4^3$.

Step2: Equate the exponents

If $a^m=a^n$, then $m = n$. So for $4^{x - 2}=4^3$, we have $x-2 = 3$.

Step3: Solve for x

Add 2 to both sides of the equation $x - 2=3$. We get $x=3 + 2=5$.

Answer:

b) 5