Muhammad R
11 Januari 2023 05:00
Iklan
Muhammad R
11 Januari 2023 05:00
Pertanyaan
7. 1/(1+^(2)log15)+1/(1+^(3)log10)+1/(1+^(5)log6)=… a. −2 b. −1 c. 0 d. 1 e. 2
1
1
Iklan
A. Imroatul
Mahasiswa/Alumni Institut Teknologi Sepuluh Nopember
26 Januari 2023 03:44
<p>Jawaban: 1</p><p> </p><h1>Logaritma</h1><p>Sifat-sifat Logaritma</p><p><sup>a</sup>log(a) = 1</p><p><sup>a</sup>log(a) + <sup>a</sup>log(b) = <sup>a</sup>log(a.b)</p><p>1/<sup>a</sup>log(b) = <sup>b</sup>log(a)</p><p> </p><p>1/(1+^(2)log15)+1/(1+^(3)log10)+1/(1+^(5)log6)</p><p>= 1/(1+<sup>2</sup>log15)+1/(1+<sup>3</sup>log10)+1/(1+<sup>5</sup>log6)</p><p>= 1/(<sup>2</sup>log2+<sup>2</sup>log15)+1/(<sup>3</sup>log3+<sup>3</sup>log10)+1/(<sup>5</sup>log5+<sup>5</sup>log6)</p><p>= 1/{<sup>2</sup>log(2.15)}+1/{<sup>3</sup>log(3.10)}+1/{<sup>5</sup>log(5.6)}</p><p>= 1/{<sup>2</sup>log30}+1/{<sup>3</sup>log30}+1/{<sup>5</sup>log30}</p><p>= <sup>30</sup>log2+<sup>30</sup>log3+<sup>30</sup>log5</p><p>= <sup>30</sup>log(2.3.5)</p><p>= <sup>30</sup>log30</p><p>= 1</p><p> </p><p>Jadi, jawabannya adalah 1.</p>
Jawaban: 1
Logaritma
Sifat-sifat Logaritma
alog(a) = 1
alog(a) + alog(b) = alog(a.b)
1/alog(b) = blog(a)
1/(1+^(2)log15)+1/(1+^(3)log10)+1/(1+^(5)log6)
= 1/(1+2log15)+1/(1+3log10)+1/(1+5log6)
= 1/(2log2+2log15)+1/(3log3+3log10)+1/(5log5+5log6)
= 1/{2log(2.15)}+1/{3log(3.10)}+1/{5log(5.6)}
= 1/{2log30}+1/{3log30}+1/{5log30}
= 30log2+30log3+30log5
= 30log(2.3.5)
= 30log30
= 1
Jadi, jawabannya adalah 1.
· 0.0 (0)
Iklan
Mau pemahaman lebih dalam untuk soal ini?
Tanya ke AiRIS
Yuk, cobain chat dan belajar bareng AiRIS, teman pintarmu!
LATIHAN SOAL GRATIS!
Drill Soal
Latihan soal sesuai topik yang kamu mau untuk persiapan ujian
Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!
