Question

Вычислите уравнение 4^(x+3)=11^x

Answer 1

${4}^{x + 3} = {11}^{x} \\ log_{4}( {4}^{x + 3} ) = log_{4}( {11}^{x} ) \\ x + 3 = \frac{ xlog_{2}(11)}{2} \\ 2x + 6 = x log_{2}(11) \\ 2x - x log_{2}(11) = - 6 \\ x(2 - log_{2}(11) ) = - 6 \\ x = - \frac{6}{2 - log_{2}(11) }$