Question

Решите уравнение 5^x+1 -5^x=500

Answer 1

ОДЗ
x > 0

5^x*5 - 5^x = 500
5^x*(5 - 1) = 500
5^x*4 = 500
5^x = 500/4
5^x = 125
5^x = 5^3
x = 3