what is the solution to log25x = 3?\no x = 3/25\no x = 8/25\no x = 35\no x = 40

Explanation:

Step1: Recall log - exponent conversion

By the definition of logarithms, if $\log_{a}b = c$, then $b=a^{c}$. Here, $a = 25$, $c = 3$, and $b=x$. So $x = 25^{3}$.

Step2: Calculate $25^{3}$

$25^{3}=(5^{2})^{3}=5^{6}=15625$. But we may have mis - interpreted the problem. If it is $\log(25x)=3$ (assuming base 10 logarithm), then by the definition of logarithms, $25x = 10^{3}$.

Step3: Solve for $x$

We have the equation $25x=1000$. Divide both sides by 25: $x=\frac{1000}{25}=40$.

Answer:

$x = 40$