Question

решите уравнение
пожалуйста

Answer 1

$5* 2^{2x}+2* 15^{x}-3* 5^{2x}=0$
$5* 3^{2x}-3* 5^{2x}+2* 15^{x}=0$
$(5* 3^{x}-3* 5^{x})( 3^{x}+ 5^{x})=0$
$5* 3^{x}-3* 5^{x}=0$                              $3^{x}+ 5^{x}=0$
$5* 3^{x}=3* 5^{x}$                                    $( frac{5}{3}) ^{x}+1=0$   
$3^{x}* 5^{1}= 3^{1}* 5^{x}$                                $(frac{5}{3}) ^{x}=-1$             
$x=1$                                                  нет решения
                                                           
                                                        

Ответ: x=1