question 8 (mandatory) (1 point) if 4^{x - 2}=64, then x is equal to a)…

$question 8 (mandatory) (1 point) if 4^{x - 2}=64, then x is equal to a)…$

question 8 (mandatory) (1 point) if 4^{x - 2}=64, then x is equal to a) 3 b) 6 c) 5 d) 4

Since $64 = 4^3$, the equation $4^{x - 2}=64$ becomes $4^{x - 2}=4^3$.

If $a^m=a^n$, then $m = n$. So, $x - 2=3$.

Add 2 to both sides of the equation: $x=3 + 2$.

C. 5