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Can someone explain why log(500) = 3 – log(2)?

with base 10, what i’m asking is there a property or something that explains this?
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5 Answers

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log(500)=log(1000/2) replace 500 with 1000/2=log1000-log2 use the log property to change the fraction to a difference =3-log2 replace log1000 with 3... Show More
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The answer is already been posted. It is because log(1000/2) is the same as log(1000)-log(2) [if you remember your properties)Then log(1000) is 3so it ends up 3 – log (2)... Show More
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3- log2 = 3*log10 – log2 = log10^3-log2 = log1000-log2 =log1000/2 =log500because logm -logn= logm/n dats a basic rule... Show More
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There’s no property to explain this. Probably just a coincedence.... Show More
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