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=(64)/(8)\\\\\Rightarrow x=8.`

Thus, the required solution is x = 8.