5. (a) Show that logi() = log M — log N₁ where M, N>0 and b>0 and b ‡ 1. log, M where M>0, b>0, c>0 and b = 1, and c# 1. (b) Show that logs (M) = logcb¹

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.4: Logarithmic Functions
Problem 48E
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5. (a) Show that logb() = log M - log, N, where M, N>0 and b>0 and b ± 1.
(b) Show that log(M)=
log: M
logcb¹
where M> 0, b>0, c>0 and b = 1, and c# 1.
Transcribed Image Text:5. (a) Show that logb() = log M - log, N, where M, N>0 and b>0 and b ± 1. (b) Show that log(M)= log: M logcb¹ where M> 0, b>0, c>0 and b = 1, and c# 1.
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