jhernandez5167
jhernandez5167
02-02-2015
Mathematics
contestada
solve for x
log(x–4)+log(x+3)=2logx
Respuesta :
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
VER TODAS LAS RESPUESTAS ( 49+ )
Otras preguntas
What is the least common denominator for 5/6 and 3/8. 3/4 and 6/7
What is the amplitude of y=1/2 sin2x
How do you?...Multiply out and simplify 10(2x-1)-20x?
what's another word for over thinking?
Why is sodium sulphate hemihydrate called as "Plaster of Paris"?
what's another word for over thinking?
how were north american colonies all similar in the 1700s?
in the number 13,407.036 there are two 3's. Explain how the values of the 3's are related.
What were the major causes of WWII? Please include at least 4 answers.
how do you write 4540 million in standard form?