Logarithms – definition and basic expressions (part 1) – pg.2/10
pg. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
2. Logarithms’ definition and basic expressions (part 1)
Logarithmic expressions are the inverse of exponential expressions.
Logarithmic expression of a number is the exponent power to which the base is raised to get that number.
Let’s start with the basic exponential expression:
[1]

written as a logarithmic expression, expression [1] becomes:
[2]

where “m” is the logarithm’s base.
Note:
The conditions for which an exponential expression, [1], can be written as a logarithmic expression, are:
1.
2. (for , is undefined)
3. (for , is undefined)
Examples:
* the exponential expression written as a logarithmic expression is
* the exponential expression written as a logarithmic expression is
When and when or we can write:


pg. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
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