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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