8. If a > 0,a # 1, and b>0, b 1, show that loga (x) = ( In a log, x, Vx € (0,0). In particular, show that log10 x = (In e/ ln 10) In a (log10 e) ln x for x € (0,00).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
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8. If a > 0,a # 1, and b>0, b1, show that
loga (x) = (
In a
log, x, Vx € (0,0).
In particular, show that log10 x = (In e/ ln 10) ln x
(log10 e) ln x for x € (0,00).
Transcribed Image Text:8. If a > 0,a # 1, and b>0, b1, show that loga (x) = ( In a log, x, Vx € (0,0). In particular, show that log10 x = (In e/ ln 10) ln x (log10 e) ln x for x € (0,00).
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