Pertanyaan

5. Bilangan lo g ( a 3 b ) , , lo g ( a 5 b 7 ) merupakan tiga suku pertama barisan aritmatika. Jika suku ke-29 barisan tersebut adalah lo g ( b 2 p ) , Maka nilai dari 3 p = ....

5. Bilangan $lo g (a^{3} b)$ , $\style{font-size:14px}\log\style{font-size:14px}\;\style{font-size:14px}(\style{font-size:14px}{\mathrm a}^\style{font-size:14px}2\style{font-size:14px}{\mathrm b}^\style{font-size:14px}6\style{font-size:14px})$ , $lo g (a^{5} b^{7})$ merupakan tiga suku pertama barisan aritmatika. Jika suku ke-29 barisan tersebut adalah $lo g (b^{2 p})$ , Maka nilai dari $3 p = ....$

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Klaim

L. Marlina

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Jawaban

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Pembahasan

Dengan menerapkan konsep barisanaritmatika. Jadi: Maka: Dengan demikian, .

Dengan menerapkan konsep barisan aritmatika.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell Beda ( straight b )= straight U subscript 3 minus straight U subscript 2 end cell equals cell straight U subscript 2 minus straight U subscript 1 end cell row blank left right double arrow cell straight U subscript 3 minus 2 straight U subscript 2 plus straight U subscript 1 equals 0 end cell row cell log left parenthesis straight a to the power of 5 straight b to the power of 7 right parenthesis minus 2 log left parenthesis straight a squared straight b to the power of 6 right parenthesis plus log left parenthesis straight a cubed straight b right parenthesis end cell equals 0 row cell log left parenthesis straight a to the power of 5 straight b to the power of 7 right parenthesis minus log left parenthesis straight a squared straight b to the power of 6 right parenthesis squared plus log left parenthesis straight a cubed straight b right parenthesis end cell equals 0 row cell log left parenthesis straight a to the power of 5 straight b to the power of 7 right parenthesis minus log left parenthesis straight a to the power of 4 straight b to the power of 12 right parenthesis plus log left parenthesis straight a cubed straight b right parenthesis end cell equals 0 row cell log space fraction numerator left parenthesis straight a to the power of 5 straight b to the power of 7 right parenthesis left parenthesis straight a cubed straight b right parenthesis over denominator left parenthesis straight a to the power of 4 straight b to the power of 12 right parenthesis end fraction end cell equals 0 row cell log space fraction numerator left parenthesis straight a to the power of 8 straight b to the power of 8 right parenthesis over denominator left parenthesis straight a to the power of 4 straight b to the power of 12 right parenthesis end fraction end cell equals 0 row cell log space fraction numerator left parenthesis straight a to the power of 4 right parenthesis over denominator left parenthesis straight b to the power of 4 right parenthesis end fraction end cell equals 0 row cell log space straight a to the power of 4 minus log space straight b to the power of 4 end cell equals 0 row cell log space straight a to the power of 4 end cell equals cell log space straight b to the power of 4 end cell row cell straight a to the power of 4 end cell equals cell straight b to the power of 4 end cell row straight a equals straight b end table end style$

Jadi:

Error converting from MathML to accessible text.

Maka:

Dengan demikian, .