Answer:
[tex]\Huge \boxed{\mathrm{3}}[/tex]
Step-by-step explanation:
Let the power be x.
[tex]\mathrm{4^x=64}[/tex]
Take log of both sides.
[tex]\mathrm{log(4^x)=log(64)}[/tex]
[tex]\mathrm{x \cdot log(4)=log(64)}[/tex]
Divide both sides by log(4).
[tex]\displaystyle \mathrm{x=\frac{log(64)}{log(4)} }[/tex]
[tex]\mathrm{x=3}[/tex]
