8.5.2 Example B Calculate x given that it satisfies the relation 3" = 5x. (8.193) This latter equation can be rewritten as the expression (- ("(-부) (– In 3) ,-x In 3 = (-x In 3)e¬¤In 3. (8.194) = xe or Therefore, In 3 W :-x In 3, (8.195) or W (-) (8.196) In 3

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 68E
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Explain the deteemine green

8.5.2
Example B
Calculate x given that it satisfies the relation
3* = 5x.
(8.193)
This latter equation can be rewritten as the expression
(:--
(w(-)-
1
-x In 3
= xe
(– In 3)
-x ln 3
= (-x In 3)e¯*
(8.194)
or
Therefore,
In 3
W
:-x In 3,
(8.195)
or
W (-3)
(8.196)
In 3
Transcribed Image Text:8.5.2 Example B Calculate x given that it satisfies the relation 3* = 5x. (8.193) This latter equation can be rewritten as the expression (:-- (w(-)- 1 -x In 3 = xe (– In 3) -x ln 3 = (-x In 3)e¯* (8.194) or Therefore, In 3 W :-x In 3, (8.195) or W (-3) (8.196) In 3
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