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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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The set of whole numbers also does not satisfy all our requirements as on observation, we find that it does not include negative numbers like -2, -7 and so on. To
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Integrals Involving Quadratics To this point we have seen quite some integrals which involve quadratics. Example of Integrals Involving Quadratics is as follow: ∫ (x / x 2
0/2
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