Aisyah O

20 September 2023 03:15

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Aisyah O

20 September 2023 03:15

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Tjendana T

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20 September 2023 03:56

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<p>Jawaban &nbsp;<strong>B. 3</strong></p><p>&nbsp;</p><p><strong>Pembahasan&nbsp;</strong></p><p><i>Sifat logaritma&nbsp;</i></p><p>1. &nbsp;&nbsp;<sup>a</sup>log b. <sup>b</sup>log c = <sup>a</sup>log c&nbsp;</p><p>2. &nbsp;&nbsp;<sup>a</sup>log b = <sup>x</sup>log b/<sup>x</sup>log a</p><p>&nbsp;</p><p>Cara 1:</p><p><sup>a</sup>log b. <sup>b</sup>log a³ = <sup>a</sup>log a³</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 3</p><p>&nbsp;</p><p>atau</p><p>&nbsp;</p><p>Cara 2:</p><p><sup>a</sup>log b. <sup>b</sup>log a³ = (log b)/log a &nbsp;× &nbsp;(log a³)/log b</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 3 log a/log a</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 3</p><p>&nbsp;</p><p>&nbsp;</p>

Jawaban  B. 3

 

Pembahasan 

Sifat logaritma 

1.   alog b. blog c = alog c 

2.   alog b = xlog b/xlog a

 

Cara 1:

alog b. blog a³ = alog a³

                          = 3

 

atau

 

Cara 2:

alog b. blog a³ = (log b)/log a  ×  (log a³)/log b

                      = 3 log a/log a

                      = 3

 

 


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