obalamandela
obalamandela obalamandela
  • 07-12-2020
  • Mathematics
contestada

2logx-log(x-1)=log(x-2)​

Respuesta :

LammettHash
LammettHash LammettHash
  • 07-12-2020

2 log(x) - log(x - 1) = log(x - 2)

log(x²) - log(x - 1) = log(x - 2)

log(x² / (x - 1)) = log(x - 2)

x² / (x - 1) = x - 2

x² = (x - 1) (x - 2)

x² = x² - 3x + 2

0 = -3x + 2

3x = 2

x = 2/3

But notice that 2/3 - 1 = -1/3 < 0, and log(x - 1) is undefined so there are no real solutions.

Answer Link

Otras preguntas

To correctly monitor horizontal changes in air pressure, the most important correction for a mercury barometer measurement is the correction for ____.
solve by factoring:x^2+4x-12=0
6 reasons why SWOT analysis is important to a new medical office?
How did the federalist papers contribute to the ratification debate?
For centuries before Europeans and Americans came to the Hawaiian Islands, Hawaiian culture was characterized by A. hunting and gathering for food, and religio
What textual evidence best supports the inference that a great white's body helps it successfully hunt prey? A. It can weigh up to 5,000 pounds and grow to b
Cpt. Alfred Thayer Mahan influenced the U.S. to
Fernando y yo __________ al mercado el domingo pasado. vamos hicimos supimos fuimos
In what ways is piggy the voice of reason
The practice of refusing mortgages for houses in poor and minority neighborhoods is called