Mempunyai penyelesaian A. x > 5 B. 0 < x < 1/25 atau x > 5 C. x < 1/25 atau x > 5 D. 1/5 < x < 25 E. 1/25 < x < 5 Tolong beserta caranya

(5x)^(1 + 5log5x) < 625x^2
(5x)^(1 + 5log5 + 5logx) < 25^2.x^2
(5x)^(1 + 1 + 5logx) < (25x)^2 ======> kedua ruas di 5log kan
5log (5x)^(2 + 5logx) < 5log (25x)^2
(2 + 5logx) . 5log5x < 2 . 5log25x
(2 + 5logx) . (5log5 + 5logx) < 2 . (5log25 + 5logx)
Misal 5logx = a
(2 + a) (1 + a) < 2 (2 + a)
2 + 3a + a^2 < 4 + 2a
a^2 + a - 2 < 0
(a + 2)(a - 1) < 0
a = -2 atau a = 1
Garis bilangan
+++ (-2) --- (1) +++
-2 < a < 1
-2 < 5logx < 1
5log5^-2 < 5logx < 5log5
5^-2 < x < 5
1/25 < x < 5