Question

Hello, I need help with this precalculus homework question, please?HW Q1

Answer 1

We are given the following logarithmic equation

`\log_4x=3`

Let us solve the above equation for x.

Recall the logarithmic definition,

`if\;\log_ab=c\;\;then\;\;b=a^c`

For the given case, we have

a = 4

b = x

c = 3

`\begin{gathered} b=a^c \\ x=4^3 \\ x=4*4*4 \\ x=64 \end{gathered}`