Respuesta :
Answer: The required solution is x = 8.
Step-by-step explanation: We are given to solve the following logarithmic equation:
[tex]\log_4{8x}=3.[/tex]
We will be using the following logarithmic property in the solution:
[tex]\log_ab=c~~~~~\Rightarrow b=a^c.[/tex]
The solution is as follows:
[tex]\log_4{8x}=3\\\\\Rightarrow 8x=4^3\\\\\Rightarrow 8x=64\\\\\Rightarrow x=\dfrac{64}{8}\\\\\Rightarrow x=8.[/tex]
Thus, the required solution is x = 8.
