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 Statement:**
If \( \ln x + \ln(x - 6) = \ln(2x) \), then \( x = \) [Text Box].
**Button:**
- Add Work
**Explanation:**
This problem involves solving a logarithmic equation. Use logarithmic properties to simplify and solve for \( x \).
- Start by applying the property \( \ln a + \ln b = \ln(ab) \) to combine the logarithms on the left side:
\[
\ln(x(x - 6)) = \ln(2x)
\]
- Set the expressions inside the logarithms equal to each other:
\[
x(x - 6) = 2x
\]
- Simplify and solve the resulting equation to find the value of \( x \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f6f5faf-b268-40f0-b930-7beeb05513ee%2F809df4c9-6914-4895-8063-f884de3fb019%2Fewdzgue_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
If \( \ln x + \ln(x - 6) = \ln(2x) \), then \( x = \) [Text Box].
**Button:**
- Add Work
**Explanation:**
This problem involves solving a logarithmic equation. Use logarithmic properties to simplify and solve for \( x \).
- Start by applying the property \( \ln a + \ln b = \ln(ab) \) to combine the logarithms on the left side:
\[
\ln(x(x - 6)) = \ln(2x)
\]
- Set the expressions inside the logarithms equal to each other:
\[
x(x - 6) = 2x
\]
- Simplify and solve the resulting equation to find the value of \( x \).
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