(1 point) Evaluate the following quantity by applying a change of base. where m = n = log65 (9.72) = In(m) In(n)
(1 point) Evaluate the following quantity by applying a change of base. where m = n = log65 (9.72) = In(m) In(n)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Evaluate the Quantity Using a Change of Base Formula**
(1 point) Evaluate the following quantity by applying a change of base.
\[ \log_{65}(9.72) = \frac{\ln(m)}{\ln(n)} \]
**Where:**
\( m = \) [Input Box]
\( n = \) [Input Box]
This problem requires using the change of base formula to calculate the logarithm \(\log_{65}(9.72)\). The formula changes the base to natural logarithms, \(\ln\), expressed as:
\[ \log_{b}(a) = \frac{\ln(a)}{\ln(b)} \]
Here, \(a = 9.72\) and \(b = 65\). Enter the values for \(m\) and \(n\) using the change of base formula.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F843115a9-e77a-4d5a-a57b-ebafe5aede7d%2Fe4e67c41-69b9-41a1-a7fe-e167e9e7e4f6%2Ftw4j1th_processed.png&w=3840&q=75)
Transcribed Image Text:**Evaluate the Quantity Using a Change of Base Formula**
(1 point) Evaluate the following quantity by applying a change of base.
\[ \log_{65}(9.72) = \frac{\ln(m)}{\ln(n)} \]
**Where:**
\( m = \) [Input Box]
\( n = \) [Input Box]
This problem requires using the change of base formula to calculate the logarithm \(\log_{65}(9.72)\). The formula changes the base to natural logarithms, \(\ln\), expressed as:
\[ \log_{b}(a) = \frac{\ln(a)}{\ln(b)} \]
Here, \(a = 9.72\) and \(b = 65\). Enter the values for \(m\) and \(n\) using the change of base formula.
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