Himpunan 5pangkat 2x + 1 - 6.5pangkat x + 1 adalah..

5^{2x+1-6} = 5^{x+1}
2x+1-6 = x+1
2x-5= x+1
2x-x = 5+1
x = 6

[tex] 5^{2x + 1} - 6 \cdot 5^{x+1} = 0 \\
5^{2x} \cdot 5 - 6 \cdot 5 \cdot 5^{x} = 0 [/tex]

Misal [tex] 5^{x} = u [/tex]

5u² - 30u = 0
5u(u - 6) = 0
u = 0 atau u = 6
[tex] 5^x = 0 \ (tidak \ memenuhi) \ atau \ 5^x = 6 [/tex]
[tex] x = ^5\log 6 [/tex]