6. Write the equation 5² = 25 in logarithmic form. [A] log₂25=5 [C] log,25=2 [B] log255=2 [D] log, 25=5 7. Write the equation 35 = 243 in logarithmic form. [A] log2433=5 [C] log,243=5 [B] log,243=3 [D] log,243=3 5 8. Write the equation 92 = 27 in logarithmic form. 2 [A] log₂9= 3 [C] 2log, 27= 9 3 [B] log, 27 =- [D] 2 log, 27 log, 27=9 9. Write the equation 6³ = 216 in logarithmic form. 10. Write the equation 25 = 32 in logarithmic form.
6. Write the equation 5² = 25 in logarithmic form. [A] log₂25=5 [C] log,25=2 [B] log255=2 [D] log, 25=5 7. Write the equation 35 = 243 in logarithmic form. [A] log2433=5 [C] log,243=5 [B] log,243=3 [D] log,243=3 5 8. Write the equation 92 = 27 in logarithmic form. 2 [A] log₂9= 3 [C] 2log, 27= 9 3 [B] log, 27 =- [D] 2 log, 27 log, 27=9 9. Write the equation 6³ = 216 in logarithmic form. 10. Write the equation 25 = 32 in logarithmic form.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Answer multiple choice questions 6-8 .
Answer short questions 9-10.
![**Logarithmic Form Conversion Exercises**
**6.** Write the equation \(5^2 = 25\) in logarithmic form.
- [A] \(\log_{25} 5 = 5\)
- [B] \(\log_{5} 25 = 2\)
- [C] \(\log_{25} 5 = 2\)
- [D] \(\log_{\frac{1}{2}} 25 = 5\)
**7.** Write the equation \(3^5 = 243\) in logarithmic form.
- [A] \(\log_{243} 3 = 5\)
- [B] \(\log_{3} 243 = 3\)
- [C] \(\log_{3} 243 = 5\)
- [D] \(\log_{\frac{1}{5}} 243 = 3\)
**8.** Write the equation \(9^{\frac{3}{2}} = 27\) in logarithmic form.
- [A] \(\log_{27} 9 = \frac{2}{3}\)
- [B] \(\log_{27} 27 = \frac{3}{2}\)
- [C] \(2 \log_{3} 27 = 9\)
- [D] \(\log_{\frac{3}{2}} 27 = 9\)
**9.** Write the equation \(6^3 = 216\) in logarithmic form.
**10.** Write the equation \(2^5 = 32\) in logarithmic form.
---
These exercises help students practice converting exponential equations into logarithmic form. To do this, identify the base, the exponent, and the result of the exponential equation, then apply the logarithm definition: \(\log_b a = c\) where \(b^c = a\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c6a3dff-6729-485c-933e-bf615eefedb6%2F8c239f9e-1cdf-4e8c-b66e-e8269d5ef5cf%2F9qogg1h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Logarithmic Form Conversion Exercises**
**6.** Write the equation \(5^2 = 25\) in logarithmic form.
- [A] \(\log_{25} 5 = 5\)
- [B] \(\log_{5} 25 = 2\)
- [C] \(\log_{25} 5 = 2\)
- [D] \(\log_{\frac{1}{2}} 25 = 5\)
**7.** Write the equation \(3^5 = 243\) in logarithmic form.
- [A] \(\log_{243} 3 = 5\)
- [B] \(\log_{3} 243 = 3\)
- [C] \(\log_{3} 243 = 5\)
- [D] \(\log_{\frac{1}{5}} 243 = 3\)
**8.** Write the equation \(9^{\frac{3}{2}} = 27\) in logarithmic form.
- [A] \(\log_{27} 9 = \frac{2}{3}\)
- [B] \(\log_{27} 27 = \frac{3}{2}\)
- [C] \(2 \log_{3} 27 = 9\)
- [D] \(\log_{\frac{3}{2}} 27 = 9\)
**9.** Write the equation \(6^3 = 216\) in logarithmic form.
**10.** Write the equation \(2^5 = 32\) in logarithmic form.
---
These exercises help students practice converting exponential equations into logarithmic form. To do this, identify the base, the exponent, and the result of the exponential equation, then apply the logarithm definition: \(\log_b a = c\) where \(b^c = a\).
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