kitty12joy22 kitty12joy22
  • 24-02-2017
  • Mathematics
contestada

Simplify into one logarithm: 2logx+3logy

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lukyo
lukyo lukyo
  • 24-02-2017
Express

2 log x + 3 log y

as one logarithm.

Apply the "log of.a power" rule for each term:

k log p = log(p^k) (p > 0)

then,

2 log x + 3 log y

= log(x^2) + log((y^3)

Now, use another log rule to bring those terms together:

"The sum of logarithms equals the logarithm of the product."

and you finally get

= log(x^2 * y^3) <----- there it is.

I hope this helps. =)
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