M R

06 Oktober 2023 10:32

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M R

06 Oktober 2023 10:32

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Tjendana T

Community

06 Oktober 2023 12:16

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<p>Jawaban &nbsp;<strong>C. 6</strong></p><p>&nbsp;</p><p><strong>Pembahasan&nbsp;</strong></p><p>Sifat logaritma: <sup>a</sup>⁠⁠⁠⁠⁠⁠⁠log b. <sup>b</sup>log c = <sup>a</sup>log c</p><p>&nbsp;</p><p>³log 25. <sup>5</sup>log 27 = ³log 5². <sup>5</sup>log 3³</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 2. ³log 5. 3. <sup>5</sup>log 3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 6. ³log 5. <sup>5</sup>log3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 6. ³log 3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 6</p>

Jawaban  C. 6

 

Pembahasan 

Sifat logaritma: a⁠⁠⁠⁠⁠⁠⁠log b. blog c = alog c

 

³log 25. 5log 27 = ³log 5². 5log 3³

                             = 2. ³log 5. 3. 5log 3

                             = 6. ³log 5. 5log3

                             = 6. ³log 3

                             = 6


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Sumber W

Community

06 Oktober 2023 22:57

Jawaban terverifikasi

<p>Ok, saya bantu jawab ya.....</p><p>Untuk menjawab soal ini kita gunakan sifat logaritma :</p><p><strong><sup>a</sup>log b.<sup>b</sup>log c = <sup>a</sup>log c</strong></p><p>&nbsp;</p><p><sup>3</sup>log 25 . <sup>5</sup>log 27 = <sup>3</sup>log 5<sup>2</sup> . <sup>5</sup>log 3<sup>3</sup>&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 2 <sup>3</sup>log 5 . 3 <sup>5</sup>log 3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 6 <sup>3</sup>log 5 . <sup>5</sup>log 3&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 6 <sup>3</sup>log 3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 6</p><p>Jawaban : C</p>

Ok, saya bantu jawab ya.....

Untuk menjawab soal ini kita gunakan sifat logaritma :

alog b.blog c = alog c

 

3log 25 . 5log 27 = 3log 52 . 5log 33 

                                 = 2 3log 5 . 3 5log 3

                                 = 6 3log 5 . 5log 3 

                                 = 6 3log 3

                                 = 6

Jawaban : C


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