Respuesta :
Answer: The required solution is x = 40.
Step-by-step explanation: We are given to find the solution of the following logarithmic equation:
[tex]\log25x=3.[/tex]
We will be using the following logarithmic property:
[tex]\log a=b~~~~\Rightarrow a=10^b.[/tex]
We have
[tex]\log25x=3\\\\\Rightarrow 25x=10^3\\\\\Rightarrow 25x=1000\\\\\Rightarrow x=\dfrac{1000}{25}\\\\\\\Rightarrow x=40.[/tex]
Thus, the required solution is x = 40.
