Logarithm | Quantitative Aptitude Basic Formula

Logarithm :

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

Examples :

1. 10³ 1000 = log₁₀ 1000 = 3.

Common Logarithms :

Logarithms to the base 10 are known as common logarithms.

Properties of Logarithms :

1. log_a(xy) = log_a x + log_a y

2. log_a(x / y) = log_a x – log_a y

3. log_x x = 1

4. log_a 1 = 0

5. log_a (x^p) = p(log_a x )

6. log_a x = 1 / log_xa

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