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
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Recall the Powers of 10 to Understand Common Logs
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Enter numbers as decimals, not fractions.
To Compute Using Logs:
Choose a base. c =
Take the logs of each number in this base.
A =
B =
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 .
Take the antilog of the result -- raise the base to this power.
(base)
^{(sum)}
(base)
^{(difference)}
(base)
^{(product)}
(base)
^{(quotient)}
Vocabulary:
base
e
exponent
exponential function
log
logarithm
© 00-7-8, 10/21/2018, A
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