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

5 Answers

• 500 = 1000 / 2

• 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

• 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 3

  so it ends up

  3 – log (2)

• 3- log2 = 3*log10 – log2

  = log10^3-log2

  = log1000-log2

  =log1000/2

  =log500

  because logm -logn= logm/n dats a basic rule

• There’s no property to explain this. Probably just a coincedence.