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The logarithm of a provided number b to the base 'a' is the exponent showing the power to which the base 'a' have to be raised to get the number b. This number is defined as log a b. Therefore log a b = x ↔ ax = b, a > 0, a ≠1 and b>0. From the basic definition of the logarithm of the number b to the base 'a', we have an identity
That is called as Fundamental Logarithmic Identity.
Infinite Interval - Improper Integrals In this type of integral one or both of the limits that is upper limit and lower limit of integration are infinity. In these cases the
the figure is a rectangle with angle y=60. Find angle x
How may six digit numbers can be made in which the sum of the digits is even? Ans = 9*10*10*10*10*5
1. Consider the following differential equation with initial conditions: t 2 x'' + 5 t x' + 3 x = 0, x(1) = 3, x'(1) = -13. Assume there is a solution of the form: x (t) = t
by purchasing rs.10 shares for rs.40 each mala gets 5% income on her investment. what rate of dividend is the company paying? what will be the amount of dividend if she buys 120 sh
how to find out percentage error?
Show the result of the following sequence of UNION operations using union-by-weight with the following assumptions Unions are performed on the representatives on the sets th
The numbers used to measure quantities such as length, area, volume, body temperature, GNP, growth rate etc. are called real numbers. Another definition of real numbers us
Retail price index This is weighted average of price relatives based on an average household in the base year. The items consumed are divided into groups as liker food, transp
uses of maths concept
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