Question

Даю много баллов за 1 пример
3^3х+9*5^2х=5^2х+9*3^3х

Answer 1

Ответ:

Объяснение:

$3^{3x}+9\cdot5^{2x}=5^{2x}+9\cdot3^{3x}\\\\9\cdot5^{2x}-5^{2x}=9\cdot3^{3x}-3^{3x}\\\\8\cdot5^{2x}=8\cdot3^{3x}\\\\5^{2x}=3^{3x}\\\\25^x=27^x\\\\\bigg(\dfrac{25}{27}\bigg)^x=1\\\\\bigg(\dfrac{25}{27}\bigg)^x=\bigg(\dfrac{25}{27}\bigg)^0\\\\\boldsymbol{Otvet:x=0}$