Write as the sum and\or difference of logarithms and express powers as factors \log_{4}(\frac{x+6}{x^{7}})

Brennan Flores

Brennan Flores

Answered question

2021-07-31

Write as the sum and\or difference of logarithms. Express powers as factors.
log4(x+6x7)
A. log4(x+6)log4x
B. 7log4xlog4(x+6)
C. log4(x+6)7log4x
D. log4(x+6)+7log4x

Answer & Explanation

davonliefI

davonliefI

Skilled2021-08-01Added 79 answers

Step 1
Given, log4(x+6x7)
Step 2
Property used:
loga(mn)=logamlogan
logamn=nlogam
Step 3
Apply the above property, we get
log4(x+6)log4(x7)
log4(x+6)7log4(x)

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