Question

Tolong jawab nomor 1 dan 2 pakai cara.
1) -2<log(x-1)<2
2) ^(1/3) log(2x-3)>-2

Answer 1

Verified answer

1][
-2 < log (x - 1) < 2

log (x - 1) < 2
x - 1 < 10²
x < 100 + 1
x < 101 ... (1)

log (x - 1) > -2
x - 1 > 10^-2
x > 1 + 0,01
x > 1,01 ... (2)

syarat numerus
x - 1 > 0
x > 1 ... (3)

Nilai x yg memenuhi :
Irisan (1) (2) dan (3)
1,01 < x < 101

2][
(1/3)'log (2x - 3) > -2
2x - 2 < (1/3)^-2
2x - 2 < 3^2
2x < 9 + 2
x < 11/2 ... (1)

Syarat numerus :
2x - 3 > 0
2x > 3
x > 3/2 ... (2)

Nilai x yg memenuhi :
Irisan (1) dan (2)
3/2 < x < 11/2