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A logarithm answers the question: “To what exponent do I need to raise a given base to get a certain number?” For instance, if we have 2 3, the logarithmic equivalent would be log 2 (8) = 3. In this case, the logarithm tells us that we need to raise 2 to the power of 3 to get 8. The general form of a logarithm is written as: log b (y) = x
Using the concept of fractional exponents, which I'm sure you've seen if you're studying logarithms, we can do away with having to use a small base by effectively filling in the gaps between the elements of the sequence. That's why logarithms were originally investigated. Nowadays we don't need to resort to tricks like that just to do ...
Scroll down to see all of our available logarithm worksheets. We have a pretty solid collection for you that includes. You will be asked to calculate the value of logs, understand how expressions fit into the mix and best of all are our logarithm word problems.
worksheets for pre-algebra,algebra,calculus,functions
Definition 1: The logarithm with base 10 is called the _____ logarithm. o The base does not need to be shown when writing a common logarithm. o “log x” is understood to mean “log 10 x”. (You do not have to write the 10). o The LOG key on your calculator gives base 10 logarithms. Ex 1: Evaluate log 8 ylog 10
Simplify each of the following logarithmic expressions, giving the final answer as a single fraction. a) log 24 b) log 84 c) log 2 24 ( ) d) 5 1 log 125 1 2, 3 2, 3 4, 3 2 −
11. Draw the graph of each of the following logarithmic functions, and analyze each of them completely. (1) f(x) = logx (2) f(x) = log x (3) f(x) = log(x 3) (4) f(x) = 2log 3 (3 x) (5) f(x) = ln(x+1) (6) f(x) = 2ln 1 2 (x+3) (7) f(x) = ln(2x+4) (8) f(x) = 2ln( 3x+6)
