10) Solve for x when 2 log x - log 100 = 2 a) 105 b) 10° c) 10' 10⁰

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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### Problem 10

**Solve for \( x \) when \( \frac{1}{2} \log x - \log 100 = 2 \)**

Options:
a) \( 10^5 \)
b) \( 10^6 \)
c) \( 10^7 \)

Explanation:
- This is a logarithmic equation where you need to find the value of \( x \).
- The given equation is \( \frac{1}{2} \log x - \log 100 = 2 \).
- Highlight the options provided to choose the correct value for \( x \).

To solve this:
1. Isolate the logarithmic expressions.
2. Use properties of logarithms to simplify and solve for \( x \).

Note: Option (d) is left blank, potentially signifying an error or missing choice.
Transcribed Image Text:### Problem 10 **Solve for \( x \) when \( \frac{1}{2} \log x - \log 100 = 2 \)** Options: a) \( 10^5 \) b) \( 10^6 \) c) \( 10^7 \) Explanation: - This is a logarithmic equation where you need to find the value of \( x \). - The given equation is \( \frac{1}{2} \log x - \log 100 = 2 \). - Highlight the options provided to choose the correct value for \( x \). To solve this: 1. Isolate the logarithmic expressions. 2. Use properties of logarithms to simplify and solve for \( x \). Note: Option (d) is left blank, potentially signifying an error or missing choice.
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