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Properties of Logarithmic Functions

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General Properties of Logarithmic Function

Properties of logarithms

Properties of logarithmic function Property (1) log_a 1=0 (2) log_a a=1 (3) log_a (xy)=log_a|x|+log_a|y| (4) log_a(x/y)=log_a |x|-log_a |y|

Properties of logarithmic function Property (5)log_(a)(x^(n))=n log_(a)|x|(6)log_(a)^(n)x^(m)=(m)/(n)log_(a)x(7)x^(log_(a)y)=y^(log_(a)x)

Properties of logarithmic function Property (8) If a>1 then the values of f(x)=log_a x increases with an increase in x ie xlty hArr log_a x lt log_a y (9) If 0

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