4.2.2 Change of Base of Logarithms

Change of Base of Logarithms


    log a b= log c b log c a          and       log a b= 1 log b a      

Example
:
Find the value of the following:
a. log 25 100
b. log 3 0.45

Answer:

(a)   log 25 100= log 10 100 log 10 25 = log 10 10 2 log 10 25 = 2 1.3979 =1.431 (b)   log 3 0.45= log 10 0.45 log 10 3 = 0.3468 0.4771 =0.727

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