Fanesa P

06 Desember 2023 07:38

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Fanesa P

06 Desember 2023 07:38

Pertanyaan

Jika diketahui ³log 4=A. Tentukan ⁸log27 dalam A

Jika diketahui ³log 4=A. Tentukan ⁸log27 dalam A

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Sumara S

06 Desember 2023 12:24

Jawaban terverifikasi

<p>diketahui: ³log 4 = A diperoleh ³log 2<sup>2</sup> = A &lt;=&gt; 2 ³log 2 = A &lt;=&gt; ³log 2 = ½ A</p><p>sekarang tentukan ⁸log 27 dalam A:</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 1</p><p>⁸log 27 = &nbsp;------------</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<sup>27</sup>log 8</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 1</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = ------------</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<sup>3^3</sup> log 2<sup>3</sup></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 1</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= ------------</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<sup>3</sup> log 2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 1</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= ----------</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; ½ A</p><p>⁸log 27 = <sup>2</sup>/<sub>A</sub></p><p>&nbsp;</p><p>semoga membantu.</p>

diketahui: ³log 4 = A diperoleh ³log 22 = A <=> 2 ³log 2 = A <=> ³log 2 = ½ A

sekarang tentukan ⁸log 27 dalam A:

                              1

⁸log 27 =  ------------

                      27log 8

                            1

                = ------------

                     3^3 log 23

                            1

               = ------------

                      3 log 2

                          1

               = ----------

                        ½ A

⁸log 27 = 2/A

 

semoga membantu.


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S. Amamah

Mahasiswa/Alumni Universitas Negeri Malang

06 Desember 2023 23:44

Jawaban terverifikasi

<p>Jawaban: 2/A</p><p>&nbsp;</p><p>ingat!</p><p><sup>a</sup>log b = log b/log a</p><p><sup>a</sup>log b = m. log b</p><p>&nbsp;</p><p>³log 4 = A&nbsp;</p><p><sup>3</sup>log 2<sup>2</sup> = A&nbsp;</p><p>2 ³log 2 = A&nbsp;</p><p>&nbsp;³log 2 = ½A</p><p>&nbsp;</p><p>maka&nbsp;</p><p>⁸log27 = <sup>3</sup>log 27/<sup>3</sup>log 8</p><p>= <sup>3</sup>log (3<sup>3</sup>)/<sup>3</sup>log 2<sup>3</sup></p><p>= (3. <sup>3</sup>log 3 )/ (3. <sup>3</sup>log 2)</p><p>= (3. 1)/(3 . 1/2A)</p><p>= 1/(1/2A)</p><p>= 2/A</p><p>&nbsp;</p><p>Jadi hasil dari ⁸log27 &nbsp;adalah 2/A</p>

Jawaban: 2/A

 

ingat!

alog b = log b/log a

alog b = m. log b

 

³log 4 = A 

3log 22 = A 

2 ³log 2 = A 

 ³log 2 = ½A

 

maka 

⁸log27 = 3log 27/3log 8

= 3log (33)/3log 23

= (3. 3log 3 )/ (3. 3log 2)

= (3. 1)/(3 . 1/2A)

= 1/(1/2A)

= 2/A

 

Jadi hasil dari ⁸log27  adalah 2/A


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