Which expression has the greater value? Show all of your work. 1 A: log2 16+ log2 8 B: log() -log(1) 32 X 2^=16 Lexponential exponential -12 U 1-5

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 44E
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Which expression has the greater value? Show all of your work.
1
32
A: log2 16+ log₂ 8
B: log-log(³2
x
8
2 = 16 lexponential
X=4
form)
change to exponential
+
11/22
= 32
x = -5
109₂ 16 = 4
Log₂ 8 = 2x = 8
2²
x = 3
Log28=3
4+3=7
-
-IN
2
x = 3
100 foto
-100
3--5=8
8
11
-12 12
1-5
- 32
The expression of
log ( 2 ) = - Log ( 1 ) 32
has a greater
value.
Transcribed Image Text:Which expression has the greater value? Show all of your work. 1 32 A: log2 16+ log₂ 8 B: log-log(³2 x 8 2 = 16 lexponential X=4 form) change to exponential + 11/22 = 32 x = -5 109₂ 16 = 4 Log₂ 8 = 2x = 8 2² x = 3 Log28=3 4+3=7 - -IN 2 x = 3 100 foto -100 3--5=8 8 11 -12 12 1-5 - 32 The expression of log ( 2 ) = - Log ( 1 ) 32 has a greater value.
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