Untuk bilangan a>1, jika p=x/a^3 maka nilai semua x yang memenuhi ^p log a/ ^a log x-4 < 0 adalah...
A. a^-3 < x < a^4
B. a^3 < x < a^4
C. a^-4 < x < a^3
D. a^-2 < x < a^2
E. a < x < a^4
A. a^-3 < x < a^4
B. a^3 < x < a^4
C. a^-4 < x < a^3
D. a^-2 < x < a^2
E. a < x < a^4
Verified answer
(ploga) / (alogx - 4) < 01 / (alogp) (alogx - 4) < 0
karena 1 > 0 maka haruslah
(alogp) (alogx - 4) < 0
(alog(x/a^3)) (alogx - 4) < 0
(alogx - aloga^3) (alogx - 4) < 0
(alogx - 3) (alogx - 4) < 0
alogx = 3 atau alogx = 4
garis bilangan
+++ (3) --- (4) +++
3 < alogx < 4
aloga^3 < alogx < aloga^4
a^3 < x < a^4