Question

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

Answer 1

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