[tex] \sqrt[x+4]{ 2^{3x} + 2^{3} } = 2^{x-5} [/tex]
[tex]2^{ \frac{3x}{x+4} }+ 2^{ \frac{3}{x+4} } = 2^{x-5} [/tex]
[tex]log 2^{ \frac{3x}{x+4} } + log 2^{ \frac{3}{x+4} } = log 2^{x-5} [/tex]
[tex]log 2^{ \frac{3x}{x+4} }. 2^{ \frac{3}{x+4} } = log 2^{x-5} [/tex]
[tex] \frac{3x+3}{x+4} log2 = x-5 (log2) [/tex]
3x+3 = x² -5x+ 4x -20
x² -4x -23 = 0 , a = 1 b = -4 e c = -23
Δ= (-4)² - 4.1.-23
Δ = 108
x' = [tex] \frac{-b+ \sqrt{delta} }{2a} = \frac{4+6 \sqrt{3} }{2} = 2+3 \sqrt{3} [/tex]
x'' = 2-3√3
