Question

Решить уравнение: 5^х +5^х+1 +5^х+2=3^х +3^х+1 +3^х+2

Answer 1

5^х +5^(х+1) +5^(х+2)=3^х +3^(х+1) +3^(х+2)
5^x(1 + 5 +5²) = 3^x(1 +3 +3²)
5^x*31 = 3^x*13 | : 3^x * 31
(5/3)^x = 13/31
х = log₅/₃13 - log₅/₃31