gracepiechowiak gracepiechowiak

02-04-2019
Mathematics

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Expand the logarithm. Log5 5x^-5
A. Log5 1/125x
B. -5 log5 5x
C. Log5 5+ -5 log5 x
D. -5 log5 5+ -5 log5 x

Respuesta :

02-04-2019

Answer:

[tex]\large\boxed{C.\ \log_55+-5\log_5x}[/tex]

Step-by-step explanation:

[tex]\log_ab^c=c\log_ab\\\\\log_a(bc)=\log_ab+\log_ac\\=====================\\\\\log_55x^{-5}=\log_55+\log_5x^{-5}=\log_55+-5\log_5x[/tex]

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