Question

What is the solution to log25x=3?

Answer 1

X=40 is the answer took the test and knocked it out of the park

Answer 2

Answer:  The required solution is x = 40.

Step-by-step explanation:  We are given to find the solution of the following logarithmic equation:

$\log25x=3.$

We will be using the following logarithmic property:

$\log a=b~~~~\Rightarrow a=10^b.$

We have

$\log25x=3\\\\\Rightarrow 25x=10^3\\\\\Rightarrow 25x=1000\\\\\Rightarrow x=\dfrac{1000}{25}\\\\\\\Rightarrow x=40.$

Thus, the required solution is x = 40.