jhernandez5167 jhernandez5167
  • 02-02-2015
  • Mathematics
contestada

solve for x
log(x–4)+log(x+3)=2logx

Respuesta :

konrad509
konrad509 konrad509
  • 02-02-2015
[tex]D:x-4>0 \wedge x+3>0 \wedge x>0\\ D:x>4 \wedge x>-3 \wedge x>0\\ D:x>4\\\\ \log(x-4)+\log(x+3)=2\log x\\ \log(x-4)(x+3)=\log x^2\\ (x-4)(x+3)=x^2\\ x^2+3x-4x-12=x^2\\ -x=12\\ x=-12\\ -12\not\in D\\ \Downarrow\\ \boxed{x\in\emptyset}[/tex]
Answer Link

Otras preguntas

Please help!! The spread of 24-hour news networks during the 1980s and 1990s made the American public more aware of which of these? a. global warming b. tobac
1. The Vietnamese people ----------- a heroic people. A. is B. are C. was D. were2. Miss White------------ her parents is going to pay a visit to the Great Wall
59,8x60,2 bằng bao nhiêu ạ
Solve for x (x-5) ²+5 =49
look at the image below
What is the objective of rural water supply and sanitation project in western Nepal?
Can you please me with the word problem thank you so much
look at the image for the question?
A poll of a registered voters is a small town is taken to determine their preferences in the national Presidential election. The results are then used to estima
Please need help with this ASAP !!!!!