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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.
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(e) Solve the following system of equations by using Matrix method. 3x + 2y + 2z = 11 x + 4y + 4z = 17 6x + 2y + 6z = 22
Tom has five times as many marbles as Jim. together they have 42 marbles. how many marbles does each has?
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IN THIS WE HAVE TO ADD THE PROBABILITY of 3 and 5 occuring separtely and subtract prob. of 3 and 5 occuring together therefore p=(166+100-33)/500=233/500=0.466
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