ADDINNIA D

17 April 2025 01:51

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ADDINNIA D

17 April 2025 01:51

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Vania E

17 April 2025 11:50

<p>log<sub>2</sub> 125 = log<sub>2</sub> (5<sup>3</sup>) = 3 . log<sub>2</sub> 5</p><p>&nbsp;</p><p><strong>maka:</strong></p><p>log<sub>2</sub> 125 . log<sub>5</sub> 2 = (3 . log<sub>2</sub> 5) . log<sub>5</sub> 2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 3 . (log<sub>2</sub> 5 . log<sub>5</sub> 2)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 3 . 1</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 3</p><p>&nbsp;</p><p>jadi, jawabannya <strong>3</strong></p>

log2 125 = log2 (53) = 3 . log2 5

 

maka:

log2 125 . log5 2 = (3 . log2 5) . log5 2

                                               = 3 . (log2 5 . log5 2)

                                               = 3 . 1

                                               = 3

 

jadi, jawabannya 3


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