Categories
Mathematics

Addition and Subtraction of Surds

Surds in their basic forms which are similar can be added or subtracted. Example:  Evaluate the following (a)√32 + 3√8       […]

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Biology

Rules of Surd – Basic Forms of Surd, Similar Surds, Conjugate Surds

Surds are irrational numbers. They are the root of rational numbers whose value can not be expressed as exact fractions. […]

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Mathematics

Multiplication and Division of number greater than one using logarithm

Multiplication and Division of number greater than one using logarithm To multiply and divide numbers using logarithms, first express the […]

Categories
Mathematics

Logarithm of numbers greater than one – Integer Fraction (Mantissa)

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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Mathematics

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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Mathematics

Logarithmic Equation

Solve the following equation a) Log10 (x2 – 4x + 7) = 2 b) Log8 (r2 – 8r + 18) = 1/3 Solution […]

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Mathematics

Laws of Logarithm

a) let P = bx, then logbP = x Q = by, then logbQ = y PQ = bx X by = […]

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Mathematics

Logarithm of numbers (Index & Logarithmic Form)

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 = […]

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Mathematics

Exponential Equation of Quadratic Form

Some exponential equation can be reduced to quadratic form as can be seen below. Example :  Solve the following equations. […]

Categories
Biology

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 […]