Question

What is the solution to log4 8x=3?

Answer 1

Exponential form 4^3=8x
x =8

Answer 2

Answer:  The required solution is  x = 8.

Step-by-step explanation:  We are given to solve the following logarithmic equation:

$\log_4{8x}=3.$

We will be using the following logarithmic property in the solution:

$\log_ab=c~~~~~\Rightarrow b=a^c.$

The solution is as follows:

$\log_4{8x}=3\\\\\Rightarrow 8x=4^3\\\\\Rightarrow 8x=64\\\\\Rightarrow x=\dfrac{64}{8}\\\\\Rightarrow x=8.$

Thus, the required solution is  x = 8.