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Properties of logarithms

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Properties of logarithm - continued and Solving equations and inequations related to log

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

Solving inequations using wary-curve and Introduction and properties of logarithm

General Properties of Logarithmic Function

Quadratic Equation|Practice Questions|Binomial Approximation|Properties Of Logarithm|Summary

Properties Of Logarithmic Functions|Differentiation Of Exponential And Logarithmic Functions|Exercise Questions|OMR

The inactivation rate of a viral preparation is proportional to the amount of virus. In the first minute after preparation, 10% of the virus is inactivated. The rate constant for viral inactivation is __________ xx 10^(-3) "min"^(-1) . (Nearest integer) [Use : ln 10 = 2.303 , log_(10) 3= 0.477 , Property of logarithm : logx^y = y log x ]

where the base of logarithm is