O level Indices and Logarithm Quizzes

The index (Singular of indices) of a number tells us how many times to use the number in a multiplication. It is written as a small number to the right and above the base number. For example 5² = 5 x 5 = 25, 2 is known as the index, exponent or power Logarithms is another way of writing numbers and it is the inverse function of exponentiation. This means that the logarithms of a given number X is the exponent to which another fixed number which is the base b, must be raised, to produce the number Y

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Browse our free O level Indices and Logarithm Quizzes practice quizzes below. Each quiz contains real exam-style multiple choice questions with instant feedback to help you revise effectively and prepare for your exams. We currently have 1 O level Indices and Logarithm Quizzes quiz available.

O level Indices and Logarithm Quiz 1

In this quiz, we shall be revising indices and logarithms with questions th...

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About O level Indices and Logarithm Quizzes

Revising O level Indices and Logarithm with Quizzes.

(Indices and Logarithm quizzes for students doing GCE O Level)

Indices

The index (Singular of indices) of a number tells us how many times to use the number in a multiplication.

For example 5² = 5 x 5 = 25, 2 is known as the index, exponent or power

Laws of Indices

Product of powers.

$x^m \times x^n = x^{m+n}$

Quotient of powers.

$\dfrac{x^m}{x^n}=x^{m-n}$

Power of a power.

$(x^m)^n = x^{m \times n}$

Fractional powers.

$x^{\frac{m}{n}} = (\sqrt[n]{x})^m$

Power of zero.

$\dfrac {x^3}{x^3} = x^0 = 1$

Negative powers.

$x^{-m} = \dfrac{1}{x^m}$

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Logarithms

Logarithms is another method of composing numbers and it is the opposite capacity of exponentiation. This implies that the logarithms of a given number X is the type to which another fixed number which is the base b, should be raised, to deliver the number Y

Laws of Logarithms
1.   log0 is undefined.
2.   log1 = 0
3.   log(P*Q) = log P + log Q
4.   log(P/Q) = log P - log Q
5.   log(Pt) = t *log P
6.   10(loga) = a (in the case of natural logarithms, e(ln a) = a)
7.   log(10r) = r (in the case of natural logarithms, ln er = r)
8.   log(1/a) = -log a

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