Question

define logarithm?state the laws of logarithm​

Answer 1

Answer:

Logarithm:-

If N and a(≠1) are any two positive real numbers and for same real x, a^x = N then x is called logarithm of N to the base 'a'.

★ $</u></strong><strong><u>I</u></strong><strong><u>t \: is \: written \: as \: x = log_{a}(n) .$

★ Logarithm are defined only for positive real numbers.

★ Also there exists a unique "X" which satisfies the equation a^x = N . So, log a (N) is also unique.

i.e., a^x = N (exponential function)

→ x = log a(N) [logarithmic function]

Example :- 2⁴ = 16

→ 4 = log a (16).