We are given the following logarithmic equation
[tex]\log_4x=3[/tex]Let us solve the above equation for x.
Recall the logarithmic definition,
[tex]if\;\log_ab=c\;\;then\;\;b=a^c[/tex]For the given case, we have
a = 4
b = x
c = 3
[tex]\begin{gathered} b=a^c \\ x=4^3 \\ x=4\times4\times4 \\ x=64 \end{gathered}[/tex]