+In 9 + In (x — 1) — 3 In (х) — In 4 |
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
Condense and rewrite as a single logarithm
![The expression shown is:
\[
\frac{1}{2} \ln 9 + \ln (x - 1) - 3 \ln (x) - \ln 4
\]
This expression involves the natural logarithm, denoted by \(\ln\). It features terms with logarithms of numbers and expressions involving a variable \(x\).
- The first term is \(\frac{1}{2} \ln 9\), which indicates the natural logarithm of 9, multiplied by one half.
- The second term, \(\ln (x - 1)\), is the natural logarithm of the expression \((x - 1)\).
- The third term, \(- 3 \ln (x)\), represents three times the natural logarithm of \(x\), with a subtraction sign indicating a negative term.
- The fourth term, \(- \ln 4\), is the natural logarithm of 4, also subtracted from the expression.
This kind of expression is often encountered in calculus and algebra when dealing with transformations, solving equations, or simplifying expressions involving logarithms.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F068b423d-81fb-41c7-8616-9d34c4d0769a%2F23e8404d-a7c9-4a89-8284-696e393c93ea%2F6p5t2n_processed.png&w=3840&q=75)
Transcribed Image Text:The expression shown is:
\[
\frac{1}{2} \ln 9 + \ln (x - 1) - 3 \ln (x) - \ln 4
\]
This expression involves the natural logarithm, denoted by \(\ln\). It features terms with logarithms of numbers and expressions involving a variable \(x\).
- The first term is \(\frac{1}{2} \ln 9\), which indicates the natural logarithm of 9, multiplied by one half.
- The second term, \(\ln (x - 1)\), is the natural logarithm of the expression \((x - 1)\).
- The third term, \(- 3 \ln (x)\), represents three times the natural logarithm of \(x\), with a subtraction sign indicating a negative term.
- The fourth term, \(- \ln 4\), is the natural logarithm of 4, also subtracted from the expression.
This kind of expression is often encountered in calculus and algebra when dealing with transformations, solving equations, or simplifying expressions involving logarithms.
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