brandon815874 brandon815874
  • 08-05-2020
  • Mathematics
contestada

Write the expression, log 3x – 2 logx- log(2+y)], as a single logarithm.

Respuesta :

gomezgerman032 gomezgerman032
  • 16-05-2020

Answer: log(  3 /x[2+y])

Step-by-step explanation:

Hi to answer this question we have to follow the next steps:

log 3x – 2 logx- log(2+y)]

Simplify the second term

log 3x –  logx²- log(2+y)]

Use the quotient property of logarithms in the first 2 terms

log (3x / x²)-  log(2+y)

log (3 / x)-  log(2+y)

Use the quotient property of logarithms again

log (3/x ÷ [2+y])

Combine

log ( 3 / x  [2+y])

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