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Maths Exercices

Logarithms

The base a logarithm of x, logax, is the power to which you need to raise a in order to get x.

Symbolically,
logax = y means ay = x

Notes

1. logax is only defined if a and x are both positive, and a 1.
2. log10x is called the common logarithm of x, and is sometimes written as log 10.
3. logex is called the natural logarithm of x and is sometimes written as ln x.

log28 = 3 because 23 = 8

Properties:

 


Complete, using the properties of Logarithms
log381 =