Tentukan nilai x jika 5^x = 25^2x-5

jawab

5^x = (25)^(2x - 5)
5^x = (5^2)^(2x - 5)

x = 2x - 10
- x = - 10
x = 5

5^x = 25 ^2x - 5
5^x = 5 ^2(2x - 5)
5^x = 5 ^ (4x - 10)

Basis sudah sama sehingga hitungan pangkatnya saja

x = 4x - 10
4x - x = 10
3x = 10
x = 10/3