How do you evaluate log_7(1/343)?

1 Answer
Jim G.
Oct 31, 2016

-3

Explanation:

Consider the color(blue)"law of logarithms"

color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(log_b x=nhArrx=b^n)color(white)(2/2)|)))

here b=7" and " x=1/343 , n is the value of the logarithm.

rArr1/343=7^nrArr7^-3=7^nrArrn=-3

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