Question

Помогите решить уравнение (номер 845)

Answer 1

$7 {x}^{ frac{1}{ { log_{2}^{2}( {x}^{3} ) } } + log_{x}(2)} = 5 + {(x + 7)}^{ frac{2}{ log_{ sqrt{2} }(x + 7)} } \ 7 {x}^{ frac{1}{ { 9log_{2}^{2}( {x } )} } + log_{x}(2)} = 5 + {(x +7)}^{2 log_{(x + 7)}( sqrt{2} ) } \ 7 {x}^{ frac{1}{9} log_{x}^{2}(2) + log_{x}(2) } = 5 + 2 = 7\ {x}^{ frac{1}{9} log_{x}^{2}(2) + log_{x}(2) } = 1 \ log_{2}({x}^{ frac{1}{9} log_{x}^{2}(2) + log_{x}(2) }) = log_{2}(1) \ (frac{1}{9} log_{x}^{2}(2) + log_{x}(2)) log_{2}(x) = 0 \ frac{1}{9} log_{x}(2) + 1 = 0 \ log_{x}(2) = - 9 \ {x}^{ - 9} = 2 \ x = {2}^{ - frac{1}{9} }$