Question

Tolong bantu menyelesaikan soal ini.

Answer 1

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Sehingga,
log²(x-1) + log(x-1)² = 3.⁵log 3.⁹log 25
log²(x-1) + 2log(x-1) = 3.⁵log 3.³log 5
Tips:

Menjadi:
log²(x-1) + 2log(x-1) = 3
Tips:

Sehingga, dengan menganggap:
log(x-1) = a
Didapat:
a² + 2a = 3
a² + 2a - 3 = 0
(a+3)(a-1) = 0

Diberikan:
log(x-1) = -3
x-1 = 1/1000
x = 1001/1000

log(x-1) = 1
log(x-1) = log 10
x - 1 = 10
x = 11

Sehingga, selesaian:
x = {1001/1000, 11}