https://file.aiquickdraw.com/mathbot/file/1727708965630okqprmaw.jpg

The equation given in the image is:

\[
2^x - 2 = 0
\]

Let's solve it step-by-step.

### Step 1: Isolate the exponential term
\[
2^x = 2
\]

### Step 2: Take the logarithm of both sides (or recognize the power of 2)
Since \(2^1 = 2\), we can directly conclude:

\[
x = 1
\]

Thus, the solution to the equation is \(x = 1\).

### Final Answer:
The correct option is **1**.

Would you like further details, or do you have any questions?

Here are 5 related questions for practice:

1. Solve the equation \(3^x - 3 = 0\).
2. Solve the equation \(5^x - 5 = 0\).
3. What is the general approach to solving \(a^x - a = 0\) for any base \(a\)?
4. How would you solve \(2^{x+1} - 4 = 0\)?
5. What happens if we change the equation to \(2^x - 3 = 0\)?

**Tip:** When solving exponential equations, try isolating the exponential term first, then take logarithms or recognize simple powers.

Learn how to solve the exponential equation 2^x - 2 = 0 with a step-by-step breakdown. This problem covers exponential equations and logarithmic simplifications. Ideal for students in Grades 9-10.

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