II. SOLVING LOGARITHMIC INEQUALITIES othulo The direction of the inequality is based on whether the base b is greater than 1 or lesser than 1. So, given the logarithm expression logx: (37 +If 0 log, x2. + If b > 1, then x, < x2 if and only if log, x1 < log, x2. 10

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 57E
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II. SOLVING LOGARITHMIC INEQUALITIES
mothuloe
The direction of the inequality is based on whether the base
b is greater than 1 or lesser than 1. So, given the logarithm
expression logb x:
+ If 0 <b< 1, then x, <x2 if and only if log, X1 > log, x2.
+ If b > 1, then x, < x2 if and only if log, x1 < log, xz·
10
Transcribed Image Text:II. SOLVING LOGARITHMIC INEQUALITIES mothuloe The direction of the inequality is based on whether the base b is greater than 1 or lesser than 1. So, given the logarithm expression logb x: + If 0 <b< 1, then x, <x2 if and only if log, X1 > log, x2. + If b > 1, then x, < x2 if and only if log, x1 < log, xz· 10
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