Need to know if it’s A B C OR D **Solve for x**\[ 10^{x-7} = 1000 \]**Options:**- \( \text{A) } x = -4 \)- \( \text{B) } x = 3 \)- \( \text{C) } x = 6 \)- \( \text{D) } x = 10 \)**Explanation:**To solve for \( x \) in this equation, follow these steps:1. Recognize that \( 1000 \) can be expressed as a power of 10: \[ 1000 = 10^3 \]2. Therefore, rewrite the equation as: \[ 10^{x-7} = 10^3 \]3. Since the bases are the same, set the exponents equal to each other: \[ x - 7 = 3 \]4. Solve for \( x \): \[ x = 3 + 7 \] \[ x = 10 \]Thus, the correct answer is:- \( \text{D) } x = 10 \)

Here we have to choose the correct option.

Answered: Solve for x 102-7 O x = -4 O x = 3 O x…

Math

Algebra

Solve for x 102-7 O x = -4 O x = 3 O x = 6 O x = 10 = 1000

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Need to know if it’s A B C OR D

**Solve for x**

\[ 10^{x-7} = 1000 \]

**Options:**

- \( \text{A) } x = -4 \)
- \( \text{B) } x = 3 \)
- \( \text{C) } x = 6 \)
- \( \text{D) } x = 10 \)

**Explanation:**

To solve for \( x \) in this equation, follow these steps:

1. Recognize that \( 1000 \) can be expressed as a power of 10:
\[ 1000 = 10^3 \]

2. Therefore, rewrite the equation as:
\[ 10^{x-7} = 10^3 \]

3. Since the bases are the same, set the exponents equal to each other:
\[ x - 7 = 3 \]

4. Solve for \( x \):
\[ x = 3 + 7 \]
\[ x = 10 \]

Thus, the correct answer is:
- \( \text{D) } x = 10 \)

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