Logarithms-12

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Find : (i) the logarithm of 1000 to the base 10

(ii) the logarithm of 1 / 9 to the base 3

Solution :

(i) Let log 10 1000 = x

=> 10 x = 1000

=> 10 x = 10 3

=> x = 3

Therefore, log 10 = 3

(ii) Let log 3 1 / 9 = x

3 x = 1 / 9

=> 3 x = 3 -2

=> x = - 2

Therefore, log 3 1 / 9 = - 2

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