explain the following log 100
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Logarithms, or "logs", are a way of expressing one number in terms of a "base" number that is raised to some power. ... For example, log(10) is 1 (because 101 =10), log(100) is 2 (because 102 = 100), and log(2) is 0.3 (because 100.3 ≈ 2). Logs can easily be found for either base on your calculator.
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Explanation:
log100=log(10⋅10)=log10+log10
Keep in mind that when there is no base written, it is assumed to be a base of
logx=1
. Applying the rule of
Then that means
log10+log10=1+1=2
Also, you can use the power rule.
log100=log(102)=2⋅log10
which is equal to
2⋅1=2
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