ПОМОГИТЕ, люди добрые))

$1) \left\{ \begin{gathered} log_xy-4log_yx=3 \hfill \\ xy=2 \hfill \\ \end{gathered} \right. \hfill \left\{ \begin{gathered} log_2x=a \hfill \\ log_2y=b \hfill \\ \end{gathered} \right. \hfill \left\{ \begin{gathered} \frac{b}{a}-4\frac{a}{b}=3 \hfill \\ a+b=1 \hfill \\ \end{gathered} \right. \hfill$ $\left\{ \begin{gathered} a=\frac{1}{5} \hfill \\ b=\frac{4}{5} \hfill \\ \end{gathered} \right. \hfill$ дальше очевидно

$2) 2^{x+3}-3^{x^2-2}=3^{x^2+1}-55*2^x;\\ 2^x(55+8)=3^{x^2-2}(27+1);\\ 7*9*2^x=7*4*3^{x^2-2};\\ 2^{x-2}=3^{x^2-4};\\ 2^{x-2}=3^{(x-2)(x+2)};\\ (\frac{2}{3})^{x-2}=3^{x-2}*3^4;\\ (\frac{2}{9})^{x-2}=3^4;\\ x-2=4log_\frac{2}{9}3;\\ x=4log_\frac{2}{9}3+2;\\$