Respuesta :

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]