Question

Помогите пожалуйста . Задания на скрине.
1570 и 1571!

Answer 1

$\frac{9^{log_{5}50} }{9^{log_{5}2} } = \frac{9^{log_{5}25*2} }{9^{log_{5}2} } =\frac{9^{log_{5}25+log_{5}2} }{9^{log_{5}2} } = \\ =\frac{9^{log_{5}25}*9^{log_{5}2} }{9^{log_{5}2} } =9^{log_{5}25}=9^{2} =81$

$log^{2} _{ \sqrt{7} }49} = (log _{ \sqrt{7} }49})^{2}=(log _{7^{ \frac{1}{2} } }49})^{2}= \\ =(2log _{7} }49})^{2}=(2*2})^{2}= 4^{2}=16$