# Logarithms Exercise

1. Find values of the following:

(log^{2}5-log^{2}2) / log 2 1/2

2. Given that log 2 = 0.301, log 3 = 0.477 and log 7 = 0.845

Evaluate:

a. log 5 b. log 6 c. log 3.5

3. If log 2 = a and log 3 =b then express in terms of a and b the values of:

a. log 12 b. log 54 c. log 1/18

Important Logarithmic Formulae:

1. ^{a}log bc = ^{a}log b + ^{a}log b

2. ^{a}log b/c = ^{a}log b – ^{a}log b

3. ^{a}log b^{q} = q ^{a}log b

February 14, 2009 | Filed Under Mathematics

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