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Derive a linearized form of : a. A Power function b. An Exponential function

Derive a linearized form of :

a. A Power function

b. An Exponential function

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Answer #1

a.

Let the power function be,

where A is a constant and n is the power of x

To linearize the function, Taking log on both sides,

or

which is now of the form Y=mX+C, which is linear

Y=log y, m=n, X=log x and C=log A

b. Let the exponential function be,

where A and B are constants

Taking log on both sides,

or,

which is now of the linear form Y=mX+C

Here, Y=log y, m=log B, X=x and C=log A

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