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without a calculator give the exact value of each of the following logarithms.
(a)
(b) log1000
(c) log16 16
(d) log23 1
(e)
Solution
(b) log1000= 3 because 103 =1000
(c) log 1616 = 1 because 161 = 16
(d) log23 1= 0 because 230 =1
This set of examples leads us to some basic properties of logarithms.
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We know that 2 4 = 16 and also that 2 is referred to as the base, 4 as the index or power or the exponent. The same if expressed in terms of logarithms would be log 2
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