M H

23 November 2023 05:55

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M H

23 November 2023 05:55

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Tjendana T

Community

23 November 2023 06:10

Jawaban terverifikasi

<p>Jawaban &nbsp;<strong>2Β½</strong></p><p>&nbsp;</p><p><strong>Pembahasan&nbsp;</strong></p><p>(log 24√2 + log 6√6)/log 12</p><p>&lt;=&gt; (log (24√2 Γ— 6√6))/log 12</p><p>&lt;=&gt; (log 144√12)/log 12</p><p>&lt;=&gt; (log 12Β².12<sup>Β½</sup>)/log 12</p><p>&lt;=&gt; log 12<sup>2Β½</sup>/log 12</p><p>&lt;=&gt; 2Β½. log 12/log 12</p><p>&lt;=&gt; 2Β½</p>

Jawaban  2Β½

 

Pembahasan 

(log 24√2 + log 6√6)/log 12

<=> (log (24√2 Γ— 6√6))/log 12

<=> (log 144√12)/log 12

<=> (log 12Β².12Β½)/log 12

<=> log 122Β½/log 12

<=> 2Β½. log 12/log 12

<=> 2Β½


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S. Amamah

Mahasiswa/Alumni Universitas Negeri Malang

23 November 2023 07:04

Jawaban terverifikasi

<p>Jawaban: 5/2<br><br>ingat!</p><p>log a + log b = log (a x b)</p><p><sup>a</sup> log b = (log b)/(log a)</p><p><sup>a</sup>log a = 1<br><br>maka</p><p>&nbsp;(log 24√2 + log 6√6)/ log 12&nbsp;</p><p>= log (24√2 x 6√6)/log 12</p><p>= log (144√12)/log 12</p><p>= log (12<sup>2</sup>.12<sup>1/2</sup>)/log 12</p><p>= log (12<sup>5/2</sup>)/log 12</p><p>= <sup>12</sup> log (12<sup>5/2</sup>)</p><p>= 5/2 . <sup>12</sup>log 12</p><p>= 5/2 . 1</p><p>= 5/2</p><p>&nbsp;</p><p>Jadi, hasil dari &nbsp;(log 24√2 + log 6√6)/ log 12 &nbsp;adalah 5/2</p>

Jawaban: 5/2

ingat!

log a + log b = log (a x b)

a log b = (log b)/(log a)

alog a = 1

maka

 (log 24√2 + log 6√6)/ log 12 

= log (24√2 x 6√6)/log 12

= log (144√12)/log 12

= log (122.121/2)/log 12

= log (125/2)/log 12

= 12 log (125/2)

= 5/2 . 12log 12

= 5/2 . 1

= 5/2

 

Jadi, hasil dari  (log 24√2 + log 6√6)/ log 12  adalah 5/2


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