How do you evaluate log 0.5915?

1 Answer
Alan P.
Sep 2, 2015

log_10 0.5915 = -0.22805

Explanation:

Possibly not the kind of answer you were hoping for, but the only reasonable way to do this is to use a calculator (that has a log function).

You are looking for a value, x such that
color(white)("XXXX")10^x = 0.5915

Since 10^0=1 and 10^(-1)=0.1
and since 1 > 0.5915 > 0.1
rarr color(white)("XXXX") 0 > x > -1

We could try different values between 0 and -1 as the exponent, but without a calculator (or similar technology) such evaluations are too time consuming to be reasonable.

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