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Fill in the missing values to make the equations true. (a) log, 7 + log, 5 = log, (b) log, 8 log, = log₁ - (c) log 25 = 2logg 8 - 5 19 X S

Fill in the missing values to make the equations true. (a) log, 7 + log, 5 = log, (b) log, 8 log, = log₁ - (c) log 25 = 2logg 8 - 5 19 X S

Algebra and Trigonometry (6th Edition)
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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**Basic Properties of Logarithms** **Fill in the missing values to make the equations true.** (a) \(\log_9 7 + \log_9 5 = \log_9 [ \, ] \) (b) \(\log_7 8 - \log_7 [ \, ] = \log_7 \frac{8}{5} \) (c) \(\log_8 25 = 2 \log_8 [ \, ] \) The task involves filling in missing values to complete logarithmic equations, utilizing properties of logarithms: 1. **Product Rule**: \(\log_b (MN) = \log_b M + \log_b N\) 2. **Quotient Rule**: \(\log_b \left(\frac{M}{N}\right) = \log_b M - \log_b N\) 3. **Power Rule**: \(\log_b (M^n) = n \log_b M\) Explore the properties and complete the equations by applying the appropriate rules.
Transcribed Image Text:**Basic Properties of Logarithms** **Fill in the missing values to make the equations true.** (a) \(\log_9 7 + \log_9 5 = \log_9 [ \, ] \) (b) \(\log_7 8 - \log_7 [ \, ] = \log_7 \frac{8}{5} \) (c) \(\log_8 25 = 2 \log_8 [ \, ] \) The task involves filling in missing values to complete logarithmic equations, utilizing properties of logarithms: 1. **Product Rule**: \(\log_b (MN) = \log_b M + \log_b N\) 2. **Quotient Rule**: \(\log_b \left(\frac{M}{N}\right) = \log_b M - \log_b N\) 3. **Power Rule**: \(\log_b (M^n) = n \log_b M\) Explore the properties and complete the equations by applying the appropriate rules.
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