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Give the Definition of Logarithms ?
A logarithm to the base a of a number x is the power to which a is raised to get x.
In equation format:
If x = ay, then loga x = y.
Example 1: Convert the logarithmic equation log3 9 = 2 to an exponential equation. Solution: log3 9 = 2 32 = 9 By the definition of logarithms. Example 2: Convert the logarithmic equation log2 16 = 4 to an exponential equation. Solution: log2 16 = 4 24 = 16 By the definition of logarithms. Example 3: Convert the logarithmic equation log5 1/25 = -2 to an exponential equation. Solution: log 5 1/25 = -2 5-2 = 1/25 By the definition of logarithms.
Integrate following. ∫ -2 2 4x 4 - x 2 + 1dx Solution In this case the integrand is even & the interval is accurate so, ∫ -2 2 4x 4 - x 2 + 1dx = 2∫ o
If tanA+sinA=m and m2-n2 = 4vmn, show that tanA-sinA=n
Example of 3-D Coordinate System Example: Graph x = 3 in R, R 2 and R 3 . Solution In R we consist of a single coordinate system and thus x=3 is a point in a 1-D co
Tied Rankings A slight adjustment to the formula is made if several students tie and have the similar ranking the adjustment is: (t 3 - t)/12 Whereas t = number of tied
HOW WE CAN FACTORISE 12X+7X+1
Example: Find a general solution to the subsequent differential equation. 2 y′′ + 18 y + 6 tan (3t) Solution First, as the formula for variation of parameters needs coe
Parallel to the line specified by 10 y + 3x= -2 In this case the new line is to be parallel to the line given by 10 y ? 3x ? -2 and so it have to have the similar slope as this
Lindy has 48 chocolate chip cookies and 64 vanilla wafers. How many bags can lindy fill if she puts the chocolate chip cookies and the vanilla wafers in the same bags? She plans
find a30 given that the first few terms of an arithmetic sequence are given by 6,12,18...
What is a close figure in plane?
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