Question

Resolver la siguiente expresión ​

Answer 1

Respuesta:

• $\frac{log{2+log(11-x^{2} )} }{log(5-x)} = 2\\\\\\\frac{log2+log(11-x^{2} )}{} = 2log(5-x)\\\\log2+log(11-x^{2} )= log(5-x)^{2}\\\\log (2)(11-x^{2} ) = log (5^{2} - 2(5)(x)+x^{2} )\\\\log 22 - 2x^{2} = log(25-10x+x^{2} )\\\\\\simplificas/logaritmos\\\\22 -2x^{2} = 25 -10x+x^{2} \\-2x^{2} +10x -x^{2} = 25-22\\ -3x^{2} +10x = 3\\3x^{2} -10x = -3\\\\3x^{2} -10x +3 = 0\\\\factoras\\\\(\frac{(3x-9)(3x-1)}{3} )\\\\(\frac{3(x-3)(3x-1)}{3} )\\\\(x-3)(3x-1)\\\\x= 3\\\\x= 1/3$

Explicación paso a paso: