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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.
Assumptions and Application of T Distribution Assumptions of t distribution 1. The sample observations are random 2. Samples are drawn from general distribution 3.
Factor Expressions Involving Large Powers, Radicals, and Trig Functions You can use substitution to factor expressions involving large powers, radicals, and trig functions
In this theorem we identify that for a specified differential equation a set of fundamental solutions will exist. Consider the differential equation y′′ + p (t ) y′ + q (t
a triangle is 180
two fathers and two sons went fishing . they caught only 3 fish and divided them equally among themselves without cutting. is it possible? how?
find the area of this figure in square millimeter measure each segment to the nearest millmeter
Calculate average speed of a train: What is the average speed of a train which completes a 450-mile trip in 5 hours? Solution: Using Equation 15: V av = s/t V a
Two boats leave the same port at the same time. One travels at a constant speed of 30 km/hr at a bearing of 50° and the other on a bearing of 110° at a constant speed of 26 km/hr.
Q. What is set theory? Define universal set? Ans. The universe , or universal set , written as U , is the set that contains all elements being considered in a given dis
Solve the subsequent IVP. y′′ + 11y′ + 24 y = 0 y (0) =0 y′ (0)=-7 Solution The characteristic equation is as r 2 +11r + 24 = 0 ( r + 8) ( r + 3) = 0
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