Log-Properties - Properties of Logarithms Properties of...

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From MathMotivation.com – Permission Granted For Use and Modification For Non-Profit Purposes Properties of Logarithms Properties of Logarithms square4 LOG of 1 is 0 : Given the logarithmic function f(x) = LOG a x, f(1) = 0.In other words, LOG a 1 = 0 for any legitimate exponential base a . square4 LOG a of a is 1 : Given the logarithmic function f(x) = LOG a x, f(a) = 1.In other words, LOG a a = 1 for any legitimate exponential base a . square4 Product Rule for Logs : Given the logarithmic function f(x) = LOG a x, f(UV) = f(U) + f(V).In other words, LOG a (UV) = LOG a U + LOG a V for any legitimate exponential base a. square4 Quotient Rule for Logs : Given the logarithmic function f(x) = LOG a x, f(U/V) = f(U) - f(V).In other words, for any legitimate exponential base a. square4 Power Rule for Logs : Given the logarithmic function f(x) = LOG a x, f(x N ) = N uni25CF f(x).In other words, LOG a (x N ) = N uni25CF LOG a x . square4 Change of Base Rule for Logs : Given the logarithmic function f(x) = LOG a x, it is true, for any legitimate bases a and b, that square4
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