The given exponential inequality is:

$2(5)^x > 10$

To solve for $x$, the first step is to isolate the term involving the exponent $5^x$. Here's the process:

1. Divide both sides by 2 to isolate $5^x$: $\frac{2(5)^x}{2} > \frac{10}{2}$ Simplifying: $5^x > 5$

The correct answer is b. Divide both sides by 2.

Would you like further explanation on how to solve this inequality completely, or do you have any other questions?

Here are 5 related questions for practice:

1. What is the next step to solve $5^x > 5$?
2. How would you solve $3(2)^x > 24$?
3. How do you solve inequalities involving logarithms?
4. What does $5^x = 5$ imply about $x$?
5. How do you solve exponential inequalities involving different bases?

Tip: Always remember to isolate the exponential term first when solving such inequalities.