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logarithm  MATH REVIEW: USEFUL MATH FOR EVERYONE · log 100 = 2 because · 102 = 100 This is an example of a base-ten logarithm · log2 8 = 3 because · 23 = 8 In general 3 log 1 = 0 means that the logarithm of 1 is always zero, no matter what the base of the logarithm is This is because any number raised to 0 equals 1

Even though technically that is correct as an exponential, as a logarithm it is undefined You cannot have a negative base in a logarithm, and here is why: Keep Using the logarithm table, Calculate the characteristic, which is determined by the whole number part of the given number Calculate the mantissa, which is

Example: Evaluating the Logarithm of a Reciprocal Evaluate y=log3 y = l o g 3 without using a calculator Show Solution First we rewrite the explain what is meant by a logarithm • state and use the laws of logarithms • solve simple equations requiring the use of logarithms Contents 1