trinidydavis trinidydavis
  • 22-07-2018
  • Mathematics
contestada

choose the property used to rewrite the expression log 6 18 - log6 6 =log6 3

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eurydike eurydike
  • 31-07-2018

㏒₆ (18) - ㏒₆ (6) = ㏒₆ (3)

Here subtraction of logarithm given. So we have to use the property of logarithm of quotient.The property says that

㏒ₐ (M) - ㏒ₐ (N) = ㏒ₐ (M/N)

So for subtraction we have to divide them. That is logarithm of difference becomes the quotient.

So we can write,

㏒₆ (18) - ㏒₆ (6) = ㏒₆ (18/6)

If we divide 18 by 6 we will get 3.

So, ㏒₆ (18) - ㏒₆ (6) = ㏒₆ (3)

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