What is the solution to log4 8x=3?

Question

asked Aug 24, 2017 175k views

2 Answers

Dawid Ohia · Answer 1 · 2017-08-30T22:10:57+0000

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.