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

Otras preguntas

Carbon dating and other similar methods calculate age of a sample by quantifying the amount of

When life gives you lemonade what should you do with it?

Applying heat to a substance to change the form but not the identity of the substance is evidence of:

Which sentence uses the past progressive tense of throw? A. Felipe throws baseballs at the target all morning. B. Felipe threw baseballs at the target all

A 3-pound bag of apples costs $5.25. What is the unit price of a pound of apples?

Which type of government system has a central authority that holds all or nearly all of the power? A) an oligopoly B) a confederation C) a local government D

Simplify the following expression: (x + 6y) − (3x − 10y). If the final answer is written in the form Ax + By, what is the value of A? Answer for Blank 1:

You are purchasing soft drinks for the company annual party. You expect about 32 people to be there. You want to allow at least 18 ounces per person. Store A of

Rodney is making three pizzas. The recipe says that, for one pizza, he needs 2 cups of flour, 2 teaspoons of instant active dry yeast, 2 cloves of garlic, 1 tab

Which statement is true regarding the layers of earth They all consist of liquid rock They all vary in size They are all under an equal amount of pressure They