What is the solution to log4 8x=3?
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.