  ### How To Appreciate Logs Without Feeling Out On a Limb            Log Laws and Experiments w/Log Computation

A LOG IS AN EXPONENT. A LOG IS AN EXPONENT.              The log of a sum can't be simplified unless the numbers are the same.  The log of a difference can't be simplified unless the numbers are the same.  When you multiply numbers, you add the logs.  When you divide numbers, you subtract the logs.  When you raise to a power, you multiply the logs.  When you take a root, you divide the logs.
Easy printed version.     Recall the Powers of 10 to Understand Common Logs.

Enter numbers as decimals, not fractions.
To Compute Using Logs:
1. Choose a base.  c =

2. Take the logs of each number in this base.
A =
B =

3. Add the logs to multiply. Subtract the logs to divide. Multiply the logs (the exponents) to raise A to the B power. Divide the logs (the exponents) to take the Bth root of A . 4. Take the antilog of the result -- raise the base to this power.
1.  (base)(sum) (base)(difference) (base)(product) (base)(quotient)
Vocabulary:
base
e
exponent
exponential function
log
logarithm
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