Lesson Common and Natural Logarithms

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This Lesson (Common and Natural Logarithms) was created by by Nate(3500) About Me : View Source, Show
About Nate:
A logarithm is an easy way to set up an equation in a different way.
To understand, look at a basic idea:
log(b, a) = c
In logarithms, you take the 'b' to the power of 'c' b%5Ec to equal 'a'.
log%288%2C64%29+=+2
Looks like: 64=8%5E2 and that is right
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Laws of logarithms:
log%28a%29%2Blog%28b%29=log%28ab%29
log%28a%29-log%28b%29=log%28a%2Fb%29
log%28a%5E2%29=2log%28a%29
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Common+logs are logarithms with a base of 10 .... they are greatly used in the scientific world today.
Let us try to find the log(1) without a calculator:
log(1)=x
log(10,1) = x
1=10^x
x must be zero
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Natural+logs are logarithms with a base of 'e' .... 'e' is the irrational number known as the natural base
Try finding the value for 'x' in e^x=1
e^x=1 original
ln(e^x)=ln(1) take natural log of each side
xln(e)=ln(1) use the law of logarithms
x=ln(1) the natural logarithm of the natural base is equal to one
x=0
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