Mathematics Kenya
Further Logarithms
A group of related sciences, including algebra, geometry, and calculus, concerned with the study of number, quantity, shape, and space and their interrelationships by using a specialized notation
Further Logarithms
Further Logarithms
Logarithmic notation
The laws of logarithms
There are several laws of logarithms which help in evaluating them. These laws are valid for only positive real numbers. The laws are as follows:
Simplification of logarithmic expressions
Example 8
Use the laws of logarithms to evaluate the following:
Solution
Change of base
This is a formula for change of base. For any positive a, b (a, b ≠0) we have
Given,
then find a number which is a common base to both 8 and 4
Example 9
Solve.
Logarithms to Base 10
Solution of logarithmic equations
Further computations using logarithmic laws
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