Question

Himpunan penyelesaian dari 5^x2+6x-42 = 3.125 ^12-x

Answer 1

(5)^x²+6x-42 = (5^5)^12-x
(5)^ x²+6x-42 = (5)^60-5x
x²+6x-42 = 60-5x
x²+6x+5x-42-60 = 0
x²+11x-102 = 0
(x-6).(x+17) = 0
x-6 = 0 → x = 6
atau
x+17 = 0 → x = -17

jadi,
HP nya = {x = -17 atau x = 6}