### 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.

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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