Surds are irrational numbers. They are the root of rational numbers whose value can not be expressed as exact fractions. […]
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Multiplication and Division of number greater than one using logarithm To multiply and divide numbers using logarithms, first express the […]
Base ten logarithm of a number is the power to which 10 is raised to give that number e.g. 628000 […]
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Logarithm Standard forms
Numbers such as 1000 can be converted to its power of ten in the form 10n where n can be term […]
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Logarithmic Equation
Solve the following equation a) Log10 (x2 – 4x + 7) = 2 b) Log8 (r2 – 8r + 18) = 1/3 Solution […]
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Laws of Logarithm
a) let P = bx, then logbP = x Q = by, then logbQ = y PQ = bx X by = […]
The logarithm to base a of a number P, is the index x to which a must be raised to be equal to P. Thus if P = […]
Some exponential equation can be reduced to quadratic form as can be seen below. Example : Solve the following equations. […]
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Exponential Equation of Linear Form
Solve the following exponential equations a) (1/2) x = 8 b) (0.25) x+1 = 16 c) 3x = 1/81 d) 10 x = 1/0.001 e) 4/2x = 64 x […]
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Application of Laws of Indices
Solve the following (i) 32 3/5 (ii) 343 2/3 (iii) 64 2/3(iv) 0.001 (v) 14 0 Solution: i) 32 3/5 = (32 1/5) 3 = (5√32) 3 = 2 3 = 8 […]