Indices, Surds and Logarithms

Example 1 Find the value of each of the following :(a) log 2 64 (b) log 3 1 (c) log 5 5 (d) log 1 2 4 (e) log 8 0.25

4.3 Logarithms N = a x           ⇔           log a N = x log a N = x is called the logarithmic form and N = a x is the index or exponential form. Note: The logarithm of a negative number is not defined. log in … Read more

4.1 Indices and Laws of Indices (Part 2) (C) Fractional Indices    a 1 n  is a  n th root of  a .    a 1 n = a n    a m n  is a  n th root of  a m .    a m n = a m n Example 1: Find the value of the followings: (a) 81 1 … Read more

Positive Integral Indices When a real number a is multiplied by itself n times, the result is the nth power of a. Example:  5×5×5×5 = 54 (5 to the power of 4) In general, if a is any real number and n is a positive integer, then The integer n is called the index or exponent … Read more