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Multiple Choice Questions

The inverse of the function y 5lnx is ........

Mathematics (NDA) Relations and Functions

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The inverse of the function y = 5^l^nx is -

x = y^{1 / ln 5}, y > 0

x = y^l^{n 5} , y > 0

x = y^{1 / ln 5}, y < 0

x = 5 ln y, y > 0

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Explanation:

y = 5^l^nx

Taking ln on both sides

ln y = ln x ln 5

ln x = ln y/ln 5 = ln x- ln 5 = ln y^{1 /ln 5}

x = y^{1 / ln 5}, y > 0

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