2. Are the following statements true or false? If true, state which lo property(s) make it hold true. If false explain why. a d) Inx' = In3x %3D е) Inx - 3In х f) In2x = 31n 2x g) log, c = b means a' b. = C %3D

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 69E
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2. Are the following statements true or false? If true, state which log
property(s) make it hold true. If false explain why.
a
d) Inx' = In3x
%3D
e) Inx' = 31n x
f) In 2x = 3 1n2x
g) log, c = b means a
b
= C
h) log, 24 is between 5' and 5²
i) log, 24 is between 1 and 2
k) log, 24 is closer to 1 than 2
1) The function g(x) = Inx is one to one.
m) The domain of g(x) = Inx is the set of all real numbers.
%3D
n) The range of g(x) = Inx is the set of real numbers.
o) Changing base on a log functions impacts it's domain and
range.
Transcribed Image Text:2. Are the following statements true or false? If true, state which log property(s) make it hold true. If false explain why. a d) Inx' = In3x %3D e) Inx' = 31n x f) In 2x = 3 1n2x g) log, c = b means a b = C h) log, 24 is between 5' and 5² i) log, 24 is between 1 and 2 k) log, 24 is closer to 1 than 2 1) The function g(x) = Inx is one to one. m) The domain of g(x) = Inx is the set of all real numbers. %3D n) The range of g(x) = Inx is the set of real numbers. o) Changing base on a log functions impacts it's domain and range.
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