Formula_T2

Formula_T2 - Important Formulas for Test 2 Material...

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Important Formulas for Test 2 Material Instructor: Ms. Hoa Nguyen ([email protected]) log a ( M · N ) = log a M + log a N (log of product = sum of logs) log a ( M N ) = log a M - log a N (log of quotient = diﬀerence of logs) log a M r = rlog a M (Power can be brought to the front of the log). log a a M = M a log a M = M Change-of-base formula: log a b = log r b log r a (i.e., changed from base a to base r ). 1 x m = x - m (When moving from the denominator to numerator, the SIGN of the power changes to the opposite sign). ln 1 a = lna - 1 = - lna lna lnb + 1 = lna lnb + lnb lnb = ln ( a · b ) lnb log a M is DEFINED when a > 0 , a 6 = 1 and M > 0. log a M = log a N M = N a M = a N M = N log a M = N M = a N (circle trick) a M = N log a a M = log a N M = log a N The compound interest formula (compound in “period”) is given by A = P (1 + r n ) nt where A = Amount (Future Value) P = Principal (Present Value) r = annual rate of interest (in decimal form)

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This note was uploaded on 05/23/2011 for the course MAC 1147 taught by Professor Nuegyen during the Spring '11 term at FSU.

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Formula_T2 - Important Formulas for Test 2 Material...

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