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Help with algebra 2 question??
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(x+5) to the -3 power = 0.001 is another way to think about it
\[(x+5)^{-3} = 0.001\]
or \[\frac{ 1 }{ (x+5)^3 } = 0.001\]
what number to the 3rd power is 1000, because 1/1000 = 0.001
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im not sure
10 x 10 x 10 = 10^3 = 1000 right?
yes
1/1000 = 0.001 right?
yes
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so make your fraction be 1/10^3
x should be (x+5)^3 = 10^3 x must be?
5 right?
yep
thanks! can you help me with a few more?
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here is what i think is the most important part of the prob....
\[\log_{b}a = c ~~~then~~~ b^c = a \]
that is the property, logs are just exponents
log base b of 'a' means "what power does b have to be raised to to equal 'a'"
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