https://file.aiquickdraw.com/mathbot/file/1726966308244vpesyjul.jpg

The equation given in the image is:

\[
2^{x+1} = 32
\]

### Step-by-step solution:
1. Recognize that \(32\) can be written as a power of 2:
   \[
   32 = 2^5
   \]
   Therefore, the equation becomes:
   \[
   2^{x+1} = 2^5
   \]

2. Since the bases are the same, equate the exponents:
   \[
   x+1 = 5
   \]

3. Solve for \(x\):
   \[
   x = 5 - 1
   \]
   \[
   x = 4
   \]

Thus, the value of \(x\) is **4**. The correct answer is **B**.

Would you like more details or have any further questions?

Here are 5 related questions to practice:
1. Solve \(3^{x+2} = 81\).
2. If \(5^{2x} = 625\), find \(x\).
3. Solve for \(x\) in the equation \(2^{x+3} = 64\).
4. Given \(4^{x+1} = 256\), determine \(x\).
5. Solve \(7^{x} = 343\) for \(x\).

**Tip**: To solve exponential equations, express both sides with the same base whenever possible!

Jika 2^(x+1) = 32, maka nilai x adalah...

Solve the exponential equation 2^(x+1) = 32 with a step-by-step guide. Learn how to simplify powers of 2 and solve for x, perfect for Grades 7-9 algebra practice.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation