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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.
27-125 a power -135a +225a power2
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a sketch of two dimensional system
1/a+b+x =1/a+1/b+1/x a+b ≠ 0 Ans: 1/a+b+x =1/a+1/b+1/x => 1/a+b+x -1/x = +1/a +1/b ⇒ x - ( a + b + x )/ x ( a + b + x ) = + a + b/ ab ⇒
cosx
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