Write the expression below as a single logarithm in simplest form. log, 8 – log, 2 | Answer: log, ( Submit Answer

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 45E
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Condense Numerical Logarithms
Nov 20, 12:36:37 AM
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Write the expression below as a single logarithm in simplest form.
log, 8 – log, 2
Answer: log,
Submit Answer
attempt 1 out of 2
Transcribed Image Text:Condense Numerical Logarithms Nov 20, 12:36:37 AM Watch help video Write the expression below as a single logarithm in simplest form. log, 8 – log, 2 Answer: log, Submit Answer attempt 1 out of 2
Expert Solution
Step 1

Given 

 Expression:

                                                logb 8- logb 2            

 

To determine:

                     logb in the simplest form:

 

Solution:

                        We can use the property of Logarithms to find the value of the given expression in the simplest form:

                                                 logb c- logb d= logbcd

                       

 This property can only be used when the basis of the logarithm functions are same .

 Here, We can see that the basis of both logarithm functions are logb (i.e. same).                               

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