How do you evaluate log 0.0001?

1 Answer
iceman
Oct 29, 2015

log(0.0001)=-4

Explanation:

Recall that by the definition of logarithms:
log_a(y)=x<=>y=a^x
In this case:
log(0.0001)=x
10^x = 0.0001=> but: 0.0001=10^-4 so:
10^x=10^-4=>same bases on each side of an equation must have the same exponents, thus:
x=-4

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