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Matematika Berhingga Contoh
ln(10)[110273-2015]
Langkah 1
Kalikan ln(10) dengan setiap elemen di dalam matriks tersebut.
[ln(10)⋅1ln(10)⋅10ln(10)⋅2ln(10)⋅7ln(10)⋅3ln(10)⋅-2ln(10)⋅0ln(10)⋅1ln(10)⋅5]
Langkah 2
Langkah 2.1
Kalikan ln(10) dengan 1.
[ln(10)ln(10)⋅10ln(10)⋅2ln(10)⋅7ln(10)⋅3ln(10)⋅-2ln(10)⋅0ln(10)⋅1ln(10)⋅5]
Langkah 2.2
Kalikan ln(10)⋅10.
Langkah 2.2.1
Susun kembali ln(10) dan 10.
[ln(10)10⋅ln(10)ln(10)⋅2ln(10)⋅7ln(10)⋅3ln(10)⋅-2ln(10)⋅0ln(10)⋅1ln(10)⋅5]
Langkah 2.2.2
Sederhanakan 10⋅ln(10) dengan memindahkan 10 ke dalam logaritma.
[ln(10)ln(1010)ln(10)⋅2ln(10)⋅7ln(10)⋅3ln(10)⋅-2ln(10)⋅0ln(10)⋅1ln(10)⋅5]
[ln(10)ln(1010)ln(10)⋅2ln(10)⋅7ln(10)⋅3ln(10)⋅-2ln(10)⋅0ln(10)⋅1ln(10)⋅5]
Langkah 2.3
Naikkan 10 menjadi pangkat 10.
[ln(10)ln(10000000000)ln(10)⋅2ln(10)⋅7ln(10)⋅3ln(10)⋅-2ln(10)⋅0ln(10)⋅1ln(10)⋅5]
Langkah 2.4
Kalikan ln(10)⋅2.
Langkah 2.4.1
Susun kembali ln(10) dan 2.
[ln(10)ln(10000000000)2⋅ln(10)ln(10)⋅7ln(10)⋅3ln(10)⋅-2ln(10)⋅0ln(10)⋅1ln(10)⋅5]
Langkah 2.4.2
Sederhanakan 2⋅ln(10) dengan memindahkan 2 ke dalam logaritma.
[ln(10)ln(10000000000)ln(102)ln(10)⋅7ln(10)⋅3ln(10)⋅-2ln(10)⋅0ln(10)⋅1ln(10)⋅5]
[ln(10)ln(10000000000)ln(102)ln(10)⋅7ln(10)⋅3ln(10)⋅-2ln(10)⋅0ln(10)⋅1ln(10)⋅5]
Langkah 2.5
Naikkan 10 menjadi pangkat 2.
[ln(10)ln(10000000000)ln(100)ln(10)⋅7ln(10)⋅3ln(10)⋅-2ln(10)⋅0ln(10)⋅1ln(10)⋅5]
Langkah 2.6
Kalikan ln(10)⋅7.
Langkah 2.6.1
Susun kembali ln(10) dan 7.
[ln(10)ln(10000000000)ln(100)7⋅ln(10)ln(10)⋅3ln(10)⋅-2ln(10)⋅0ln(10)⋅1ln(10)⋅5]
Langkah 2.6.2
Sederhanakan 7⋅ln(10) dengan memindahkan 7 ke dalam logaritma.
[ln(10)ln(10000000000)ln(100)ln(107)ln(10)⋅3ln(10)⋅-2ln(10)⋅0ln(10)⋅1ln(10)⋅5]
[ln(10)ln(10000000000)ln(100)ln(107)ln(10)⋅3ln(10)⋅-2ln(10)⋅0ln(10)⋅1ln(10)⋅5]
Langkah 2.7
Naikkan 10 menjadi pangkat 7.
[ln(10)ln(10000000000)ln(100)ln(10000000)ln(10)⋅3ln(10)⋅-2ln(10)⋅0ln(10)⋅1ln(10)⋅5]
Langkah 2.8
Kalikan ln(10)⋅3.
Langkah 2.8.1
Susun kembali ln(10) dan 3.
[ln(10)ln(10000000000)ln(100)ln(10000000)3⋅ln(10)ln(10)⋅-2ln(10)⋅0ln(10)⋅1ln(10)⋅5]
Langkah 2.8.2
Sederhanakan 3⋅ln(10) dengan memindahkan 3 ke dalam logaritma.
[ln(10)ln(10000000000)ln(100)ln(10000000)ln(103)ln(10)⋅-2ln(10)⋅0ln(10)⋅1ln(10)⋅5]
[ln(10)ln(10000000000)ln(100)ln(10000000)ln(103)ln(10)⋅-2ln(10)⋅0ln(10)⋅1ln(10)⋅5]
Langkah 2.9
Naikkan 10 menjadi pangkat 3.
[ln(10)ln(10000000000)ln(100)ln(10000000)ln(1000)ln(10)⋅-2ln(10)⋅0ln(10)⋅1ln(10)⋅5]
Langkah 2.10
Kalikan ln(10)⋅-2.
Langkah 2.10.1
Susun kembali ln(10) dan -2.
[ln(10)ln(10000000000)ln(100)ln(10000000)ln(1000)-2⋅ln(10)ln(10)⋅0ln(10)⋅1ln(10)⋅5]
Langkah 2.10.2
Sederhanakan -2⋅ln(10) dengan memindahkan 2 ke dalam logaritma.
[ln(10)ln(10000000000)ln(100)ln(10000000)ln(1000)-ln(102)ln(10)⋅0ln(10)⋅1ln(10)⋅5]
[ln(10)ln(10000000000)ln(100)ln(10000000)ln(1000)-ln(102)ln(10)⋅0ln(10)⋅1ln(10)⋅5]
Langkah 2.11
Naikkan 10 menjadi pangkat 2.
[ln(10)ln(10000000000)ln(100)ln(10000000)ln(1000)-ln(100)ln(10)⋅0ln(10)⋅1ln(10)⋅5]
Langkah 2.12
Kalikan ln(10) dengan 0.
[ln(10)ln(10000000000)ln(100)ln(10000000)ln(1000)-ln(100)0ln(10)⋅1ln(10)⋅5]
Langkah 2.13
Kalikan ln(10) dengan 1.
[ln(10)ln(10000000000)ln(100)ln(10000000)ln(1000)-ln(100)0ln(10)ln(10)⋅5]
Langkah 2.14
Kalikan ln(10)⋅5.
Langkah 2.14.1
Susun kembali ln(10) dan 5.
[ln(10)ln(10000000000)ln(100)ln(10000000)ln(1000)-ln(100)0ln(10)5⋅ln(10)]
Langkah 2.14.2
Sederhanakan 5⋅ln(10) dengan memindahkan 5 ke dalam logaritma.
[ln(10)ln(10000000000)ln(100)ln(10000000)ln(1000)-ln(100)0ln(10)ln(105)]
[ln(10)ln(10000000000)ln(100)ln(10000000)ln(1000)-ln(100)0ln(10)ln(105)]
Langkah 2.15
Naikkan 10 menjadi pangkat 5.
[ln(10)ln(10000000000)ln(100)ln(10000000)ln(1000)-ln(100)0ln(10)ln(100000)]
[ln(10)ln(10000000000)ln(100)ln(10000000)ln(1000)-ln(100)0ln(10)ln(100000)]