5. Given an equation log2 (2 sin x)+log₂(cosx)=-1 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.5: Properties Of Logarithms
Problem 33E
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5. Given an equation log2 (2 sin x)+log₂(cosx)=-1
0<x<2л.
(a) Show that the equation can be rewritten as log(sin 2x)=−1
(b) Use the result of (a), solve the equation log₂ (2 sin x)+log2(cosx)=-1 .
Transcribed Image Text:5. Given an equation log2 (2 sin x)+log₂(cosx)=-1 0<x<2л. (a) Show that the equation can be rewritten as log(sin 2x)=−1 (b) Use the result of (a), solve the equation log₂ (2 sin x)+log2(cosx)=-1 .
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