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Pertanyaan

3 lo g ( 125 ​ ) ⋅ 25 lo g ( 27 ) + 16 lo g ( 32 ) = ...

 

  1. begin mathsize 14px style 3 1 half space end style  

  2. begin mathsize 14px style 2 1 fourth end style 

  3. begin mathsize 14px style 1 1 fourth end style 

  4. begin mathsize 14px style 1 space end style 

  5. begin mathsize 14px style 1 half end style 

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Jawaban terverifikasi

Jawaban

jawaban yang benar adalah A.

jawaban yang benar adalah A. 

Pembahasan

Pembahasan
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Sifat logaritma : Pembahasan: Oleh karena itu, jawaban yang benar adalah A.

Sifat logaritma : 

log presuperscript straight a to the power of straight m end presuperscript space straight b to the power of straight n equals straight n over straight m log presuperscript straight a space straight b space log presuperscript straight a space straight a equals 1 log presuperscript straight a space straight b. space log presuperscript straight b space straight c space equals log presuperscript straight a space straight c space 

Pembahasan:

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell scriptbase log left parenthesis square root of 125 right parenthesis end scriptbase presuperscript 3. scriptbase log left parenthesis 27 right parenthesis end scriptbase presuperscript 25 plus scriptbase log left parenthesis 32 right parenthesis end scriptbase presuperscript 16 end cell equals cell scriptbase log left parenthesis 5 square root of 5 right parenthesis end scriptbase presuperscript 3. scriptbase log left parenthesis 3 cubed right parenthesis plus scriptbase log left parenthesis 2 to the power of 5 right parenthesis end scriptbase presuperscript 2 to the power of 4 end presuperscript end scriptbase presuperscript 5 squared end presuperscript end cell row blank equals cell scriptbase log left parenthesis 5 to the power of begin inline style 3 over 2 end style end exponent right parenthesis end scriptbase presuperscript 3.3 over 2 scriptbase log space 3 space plus space 5 over 4 scriptbase log space 2 space end scriptbase presuperscript 2 end scriptbase presuperscript 5 end cell row blank equals cell 3 over 2.3 over 2 left parenthesis scriptbase log space 5. space scriptbase log space 3 right parenthesis plus 5 over 4 left parenthesis 1 right parenthesis end scriptbase presuperscript 5 end scriptbase presuperscript 3 end cell row blank blank cell equals 9 over 4 left parenthesis scriptbase log space 3 space right parenthesis plus 5 over 4 end scriptbase presuperscript 3 end cell row blank equals cell 9 over 4 plus 5 over 4 end cell row blank equals cell 14 over 4 end cell row blank equals cell 3 1 half end cell row blank blank blank end table end style    

Oleh karena itu, jawaban yang benar adalah A. 

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