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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.
Simultaneous equations by substitution: Solve the subsequent simultaneous equations by substitution. 3x + 4y = 6 5x + 3y = -1 Solution: Solve for x: 3x = 6
Price Cutter sold 85 beach towels for $6.95 each. What were the total sales? You must multiply the number of towels sold through the price of each towel; 85 × $6.95 = $590.75.
Differentiate following functions. Solution At this point there in fact isn't a lot of cause to use the product rule. We will utilize the product rule. As we add
Solve 4 sin 2 ( t ) - 3 sin ( t /3)= 1 . Solution Before solving this equation let's solve clearly unrelated equation. 4x 2 - 3x = 1 ⇒ 4x 2 - 3x -1 = ( 4x + 1) ( x
Describe the Sample of Exponents ? Imagine, for example, that you are the P.E. coach at your school, and you need to divide one of your classes into teams. Your team has 45 stu
Determine if the following series is convergent or divergent by using Radio Test. Solution With this first illustration let's be a little careful and ensure that we h
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how do i know what operation to use in a fraction word problem
writing sin 3 a.cos 3 a = sin 3 a.cos 2 a.cosa = sin 3 a.(1-sin 2 a).cosa put sin a as then cos a da = dt integral(t 3 (1-t 2 ).dt = integral of t 3 - t 5 dt = t 4 /4-t 6 /6
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