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What is a logarithm?

Copenagle, Academic Support Page 1/6 what is a logarithm? To answer this, first try to answer the following: what is x in this equation? 9 = 3x what is x in this equation? 8 = 2x Basically, logarithmic transformations ask, a number, to what power equals another number? In particular, logs do that for specific numbers under the exponent . This number is called the base. In your classes you will really only encounter logs for two bases, 10 and e. Log base 10 We write log base ten as log10 or just log for short and we define it like this: If y = 10x then log (y) = x So, what is log (10x) ?

• The point starts to emerge that logs are really shorthand for exponents. • Logs were invented to turn multiplication problems into addition problems. Lets see why. ... Already it is easier to compare the two and we gain more insight as to the properties of the function at both high and low ranges. Notice also that the function has become ...

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