How do you evaluate log_64 (1/4)?

1 Answer
Jim G.
Aug 23, 2016

-1/3

Explanation:

Using the color(blue)"law of logarithms"

color(orange)"Reminder " color(red)(|bar(ul(color(white)(a/a)color(black)(log_b a=nhArra=b^n)color(white)(a/a)|)))

rArrlog_(64)(1/4)=nrArr1/4=64^nrArrn=-1/3

Note 64^(-1/3)=1/(64^(1/3))=1/4

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