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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.
A group of ?ve friends gone out to lunch. The total bill for the lunch was $53.75. Their meals all cost about the similar, so they needed to split the bill evenly. Without consider
1. Draw a pair of tangents to a circle of radius 2cm that are inclined to each other at an angle of 900. 2. Construct a tangent to a circle of radius 2cm from a point on the c
Generate G(1000,1/2) and find the largest clique you can. A clique is a complete sub graph, that is, a set of vertices each pair of which is connected by an edge.
The perimeter of a rectangle is 104 inches. The width is 6 inches less than 3 times the length. Find out the width of the rectangle. Let l = the length of the rectangle and let
DEVELOPMENT IS CONTINUOUSLY GOING ON : Think of any two children around you. Would you say that they are alike? Do they learn the same things the same way? It is very unlikely be
Explain angle pairs ? Adjacent angle pairs Two angles are adjacent if they: 1. Have the same vertex. 2. Share a common side. 3. Have no interior points in common. Definit
Beals Conjecture
Example: Find out the radius of convergence for the following power series. Solution : Therefore, in this case we have, a n = ((-3) n )/(n7 n+1 ) a n+1 = (
5 2 --- - --- x-1 x+1
Any point on parabola, (k 2 ,k) Perpendicular distance formula: D=(k-k 2 -1)/2 1/2 Differentiating and putting =0 1-2k=0 k=1/2 Therefore the point is (1/4, 1/2) D=3/(32 1/2
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