Logarithms equation can be solved using the properties of logarithms. So equation either are solve by log or exponent. Because both inverse of each other hence are either way exponent or log.In both apply properties of log or exponent. Also we need to factorised to solve. Logarithmic eq
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Category: Algebra
Co-ordinate geometry-1
Coordinate also called ordered pair. Hence manipulation of coordinate such as Determine the distance between these points. Find the equation, midpoint, and slope of the line segment. Determine if the given lines are perpendicular or parallel. Also deal with graphic representation. Coordinate geometry
Completing Square
Completing the Square is to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial. Completing the square is a technique for converting a quadratic polynomial of the form ax2 + bx + c to a(x-b)2+c. Hence this method is used to convert. Similarly […]
Exponential Equation
Exponential equations are one in which a variable occurs in the exponent, for example, . When both sides of the equation have the same base, the exponents on either side are equal by the property Exponential Equation
Properties of logarithm
Properties of logarithms are use to evaluate or rewrite logarithmic expressions. Product Rule : ln x+ ln y = ln xy Quotient Rule : ln x – ln y = ln xy Power Rule : ln yx = x ln y Properties of logarithm
Exponent and Logarithm inverses
The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. y = logax only under the following conditions: x = ay, a > 0, and a≠1. It is called the logarithmic function with base […]
Binomial theorem
The expansion of two terms is know as Binomial theorems . Another way it is generalised form of expansion. Due to expansion of two term it is binomial. “What are the binomial coefficients?” . It shows how to calculate the coefficients in the expansion of (a + b) n. The symbol for a binomial coefficient nCr. As well as […]
Properties of indices
Laws of Exponents. Exponents are also called Powers or Indices. The exponent of a number says how many times to use the number in a multiplication. Law of Indices. To manipulate expressions, we can consider using the Law of Indices. These laws only apply to expressions with the same base, for example, 3 4 and 3 2 can be manipulated […]
