log , (u°v°)_u>0, v> 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 60E
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Write the following expression as a sum​ and/or difference of logarithms. Express powers as factors.

log , (u°v°)_u>0, v> 0
Transcribed Image Text:log , (u°v°)_u>0, v> 0
Expert Solution
Step 1

Given,

logb (u5 v9)  with u> 0 and v> 0

Step 2

Consider

logb (u5 v9)

Expressing as a sum of logarithms:

By using logarithmic property ,logb (xy) = logb(x) + logb(y)

=> logb (u5 v9) = logb(u5) + logb(v9)

 

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