AlgebraLOGARITHMSSummaryThe important information in this chapter is summarized below.Logarithms SummaryA number L is said to be the logarithm of a positive real number N to thebase b (where b is real, positive, and not equal to 1), if L is the exponent towhich b must be raised to obtain N, or the function can be expressed asL = Logb Nfor which the inverse isN = bLSimply stated, the logarithm is the inverse of the exponentialfunction.Product = baseexponentLogbaseproduct = exponentLogb (ABC) = logbA + logbB + logbCLogb (A/B) = logbA - logbBLogb (An) = nlogbALogb= logbA1/n= (1/n)logbAnALogb 1 = 0Logb (1/A) = logb 1 - logbA = -logbA• Common logs are base 10• Natural logs are base e• Anti-log is the opposite of a logRev. 0 Page 71 MA-02
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