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Can someone explain in simple terms what the differnce between a logarithm of a product and the product of logarithms. Examples of each would be helpful as well.

2007-02-27 01:05:34 · 2 answers · asked by La Flaca 4 in Science & Mathematics Mathematics

2 answers

Here is an explanation with two examples:

An example of a logarithm of a product is:

x=log(a*b)

For one of the properties of the logarithm:

log(a*b)=log(a)+log(b)

An example of the product of logarithms is:

log(a) * log(b) * log(c)...

2007-02-27 01:11:22 · answer #1 · answered by Francesco 2 · 1 0

Consider log BASE 10 of the following:-

Logarithm of a Product
log (100 x 1000) = log (100,000) = 5

Product of Logarithms
log 100 x log 1000 = 2 x 3 = 6

Hope these examples help.

2007-02-27 01:25:28 · answer #2 · answered by Como 7 · 0 0

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