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 ( 54+ )
Otras preguntas
How did flooding rivers contribute to the beginning of farming communities? a. They irrigated the crops when they overflowed. b. They created a marshy environm
what does 3-3*6+2 equal
What did the Supreme Court rule in the Plessy v. Ferguson case in 1896? A. The 13th, 14th, and 15th Amendments were unconstitutional. B. Jim Crow Laws were unco
Which characteristics do cell membranes and cell walls have in common?
48 gallons in 14 minutes write rate as a fraction
A bookstore had 96 copies of a magazine. Yesterday, it sold 1/3 of them. Today, it sold 1/8 of what remained. How many copies does the bookstore have left?
3kg 296 g + 5 kg + 326 g
The gas tank on your lawn mower holds 1/8 gallon of fuel. You can mow 2 1/4 lawns with one tank of fuel. At this rate, how many lawns could you mow with 1 gallo
Which word in the sentence is a predicate nominative? Franklin d. Roosevelt was the only president of the United States to serve three terms. a. president b. on
Describe a real world situation that can be represented by the product 8(-20). Then find the product and explain what the product means in terms of the real wor
