https://file.aiquickdraw.com/mathbot/file/1726580903416r05d0og6.jpg

The equation given in the image is:

\[
\log_2(x) - 3 = 1
\]

### Step-by-Step Solution:

1. **Start with the given equation:**

   \[
   \log_2(x) - 3 = 1
   \]

2. **Isolate the logarithmic term:**

   Add \(3\) to both sides of the equation:

   \[
   \log_2(x) = 4
   \]

3. **Rewrite in exponential form:**

   By the definition of logarithms, \(\log_2(x) = 4\) can be rewritten as:

   \[
   x = 2^4
   \]

4. **Calculate the value of \(x\):**

   \[
   x = 16
   \]

So, the value of \(x\) is \(2^4\), and the correct answer is the fourth option: \(2^4\).

Would you like more details or have any other questions?

### Related Questions:
1. What is the general rule for solving logarithmic equations?
2. How do you convert logarithmic equations into exponential form?
3. How does the base of the logarithm affect the solution of the equation?
4. What happens if the logarithmic base is not given (implied)?
5. How can you solve logarithmic equations with different bases?

### Tip:
Always remember that solving logarithmic equations involves rewriting them as exponential equations to simplify the process!

What is the value of x in log2(x) - 3 = 1?

Learn how to solve the logarithmic equation log2(x) - 3 = 1 by rewriting it as an exponential equation. This step-by-step solution covers logarithmic and exponential rules. Suitable for Grades 8-10.

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