Question

log2x-log2(x+2)=log2(2x+10) помогите решить

Answer 1

$log_{2}( \frac{x}{x + 2} ) = log_{2}(2x + 10) \\ \frac{x}{x + 2} = 2x + 10 \\ x =( 2x + 10) (x + 2) \\ x = 2 {x}^{2} + 4x + 10x + 20 \\ 0 = 2 {x}^{2} + 13x + 20 \\ x = - 4 \\ x = - \frac{5}{2}$