Applications of Indices, Surds and Logarithms

Rational numbers

numbers that can be expressed in fractional form a/b where a and b are integers and b ≠ 0

Irrational numbers

Numbers that cannot be expressed in fractional form

Equation in the form of index and logarithm

where a > 0, a ≠ 1

Product law

If a, x and y are positive and a ≠ 1

Division law

If a, x and y are positive and a ≠ 1