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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.

What is the first step in solving for x in the exponential inequality 2(5)^x > 10?

Learn how to solve the exponential inequality 2(5)^x > 10 with a detailed explanation of the first step. This problem covers algebraic concepts related to exponential expressions and inequality solving techniques. Suitable for students in Grades 9-11.

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