Intan A
30 November 2023 17:40
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Intan A
30 November 2023 17:40
Pertanyaan
Jika 2log 3 = a dan 2log 5 = b , tentukan 8log 60
Jika 2log 3 = a dan 2log 5 = b , tentukan 8log 60
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Dewi S
01 Desember 2023 03:41
<p>²log 3 = a maka (log 3)/(log 2) = a </p><p>Sehingga log 3 = a log 2</p><p>²log 5 = b maka (log 5)/(log 2) = b</p><p>Sehingga log 5 = b log 2</p><p><sup>8</sup>log 60 = (log 60)/(log 8) </p><p><sup>8</sup>log 60 = (log (2²x3x5)/(log 2³)</p><p><sup>8</sup>log 60 = (log 2² + log 3 + log 5)/(3 log 2)</p><p><sup>8</sup>log 60 = (2 log 2 + a log 2 + b log 2)/(3 log 2)</p><p><sup>8</sup>log 60 = ((2 + a + b) log 2)/(3 log 2) </p><p><sup>8</sup>log 60 =<strong> (2 + a + b) /3</strong></p>
²log 3 = a maka (log 3)/(log 2) = a
Sehingga log 3 = a log 2
²log 5 = b maka (log 5)/(log 2) = b
Sehingga log 5 = b log 2
8log 60 = (log 60)/(log 8)
8log 60 = (log (2²x3x5)/(log 2³)
8log 60 = (log 2² + log 3 + log 5)/(3 log 2)
8log 60 = (2 log 2 + a log 2 + b log 2)/(3 log 2)
8log 60 = ((2 + a + b) log 2)/(3 log 2)
8log 60 = (2 + a + b) /3
· 5.0 (1)
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Tjendana T
Community
01 Desember 2023 23:53
<p>Jawaban <strong>(2 + a + b)/3</strong></p><p> </p><p><strong>Pembahasan </strong></p><p><sup>8</sup>log 60 = ²log 60/²log 8</p><p><=> ²log (2²×3 ×5)/²log 2³</p><p><=> (²log 2² + ²log 3 + ²log 5)/3</p><p><=> (2 + a + b)/3</p>
Jawaban (2 + a + b)/3
Pembahasan
8log 60 = ²log 60/²log 8
<=> ²log (2²×3 ×5)/²log 2³
<=> (²log 2² + ²log 3 + ²log 5)/3
<=> (2 + a + b)/3
· 0.0 (0)
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