ABSTRACT
In another example, we know that 64 = 82. In this example, 2 is the power, or exponent, or index. The number 8 is the base.
Consider the expression 16 = 24 An alternative, yet equivalent, way of writing this expression is log2 16 = 4 This is stated as ‘log to the base 2 of 16 equals 4’ We see that the logarithm is the same as the power or index in the original expression. It is the base in
the the base of the
The two statements 16 = 24 and log216 = 4 are equivalent
If we write either of them, we are automatically implying the other. In general, if a number y can be written in the form ax , then the index x is called the ‘logarithm of y to the base of a’, i.e.
