Question

Kuis +50:
²logx > 11-x

Answer 1

LOgaritma

²log x > 11 - x

kedua ruas kalikan (log 2)

log x > 11 log 2 - x log 2

log x + x log 2 > 11 log 2

log (x . 2^x) > log 2^11

x . 2^x > 2^11

x . 2^x > 8 . 2⁸

x = 1 → 2⁰ . 2¹ ≠ 2¹¹

x = 2 → 2¹ . 2² ≠ 2¹¹

x = 4 → 2² . 2⁴ ≠ 2¹¹

x = 8 → 2³ . 2⁸ = 2¹¹

x . 2^x > 2^11

x > 8

Nilai x yang memenuhi :

x > 8