Arithmatical - Logarithms

CATEGORY

Important Facts and Formulae
1.

Logarithm :

If a is a positive real number, other than 1 and am = x, then we write m = loga x and we say that the value of log x to the base a is m.

Examples :

1. 103 1000 = log10 1000 = 3.
2.

Common Logarithms :

Logarithms to the base 10 are known as common logarithms.

3.

Properties of Logarithms :

1. loga(xy) = loga x + loga y

2. loga(x / y) = loga x - loga y

3. logx x = 1

4. loga 1 = 0

5. loga (xp) = p(loga x )

6. loga x = 1 / logxa