Roboguru

Diketahui , , maka

Pertanyaan

Diketahui begin mathsize 14px style log space 2 equals a end stylebegin mathsize 14px style log space 3 equals b end style, maka begin mathsize 14px style log space 54 equals.... end style 

Pembahasan Soal:

Diperhatikan bahwa

log space open parentheses m cross times n close parentheses equals log space m plus log space n 

maka

table attributes columnalign right center left columnspacing 0px end attributes row cell log space 54 end cell equals cell log space open parentheses 2 cross times 3 cross times 3 cross times 3 close parentheses end cell row blank equals cell log space 2 plus log space 3 plus log space 3 plus log space 3 end cell row blank equals cell a plus b plus b plus b end cell row blank equals cell a plus 3 b end cell end table 

Diperoleh log space 54 equals a plus 3 b.

Pembahasan terverifikasi oleh Roboguru

Dijawab oleh:

A. Rizky

Mahasiswa/Alumni Universitas Negeri Malang

Terakhir diupdate 30 April 2021

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Pertanyaan yang serupa

Pembahasan Soal:

fraction numerator log presuperscript 3 space 36 times log presuperscript 6 space 27 plus log presuperscript 2 space 16 over denominator log presuperscript begin display style 1 fourth end style end presuperscript space 8 end fraction equals fraction numerator log presuperscript 3 space open parentheses 6 close parentheses squared times log presuperscript 6 space open parentheses 3 close parentheses cubed plus log presuperscript 2 space open parentheses 2 close parentheses to the power of 4 over denominator log presuperscript begin display style 1 over 2 squared end style end presuperscript space 2 cubed end fraction equals fraction numerator open parentheses 2 times log presuperscript 3 space 6 close parentheses open parentheses 3 times log presuperscript 6 space 3 close parentheses plus open parentheses 4 times log presuperscript 2 space 2 close parentheses over denominator log presuperscript begin display style 2 to the power of negative 2 end exponent end style end presuperscript space 2 cubed end fraction equals fraction numerator 6 open parentheses log presuperscript 3 space 6 times log presuperscript 6 space 3 close parentheses plus open parentheses 4 times log presuperscript 2 space 2 close parentheses over denominator begin display style fraction numerator 3 over denominator negative 2 end fraction times log presuperscript 2 space 2 end style end fraction equals fraction numerator open parentheses 6 cross times 1 close parentheses plus 4 over denominator begin display style fraction numerator 3 over denominator negative 2 end fraction end style end fraction equals open parentheses 6 plus 4 close parentheses cross times fraction numerator negative 2 over denominator 3 end fraction equals 10 cross times fraction numerator negative 2 over denominator 3 end fraction equals negative 20 over 3 

Dengan demikian, fraction numerator log presuperscript 3 space 36 times log presuperscript 6 space 27 plus log presuperscript 2 space 16 over denominator log presuperscript begin display style 1 fourth end style end presuperscript space 8 end fraction equals negative 20 over 3.

0

Roboguru

= . . . .

Pembahasan Soal:

begin mathsize 14px style blank to the power of a log left parenthesis p cross times q right parenthesis equals to the power of a log p plus to the power of a log q end style

Jadi, jawaban yang tepat adalah A

0

Roboguru

Nilai dari  2log68​+22log3−2log12=....

Pembahasan Soal:

Ingat sifat bentuk logaritma di bawah ini:

alog(bc)=alogb+alogc

alogbm=m(alogb)

alog(cb)=alogbalogc

Dengan sifat di atas, maka diperoleh nilai dari

2log68+22log32log12=2log68+2log322log12=2log(6832)2log12=2log(689)2log12=2log122log12=2log(1212)=2log1=0

Jadi, nilai dari 2log68+22log32log12=0.

0

Roboguru

Jika  dan , tentukan nilai logaritma berikut. h.

Pembahasan Soal:

begin mathsize 14px style log space square root of 5 1 over 16 end root equals log space square root of 81 over 16 end root space space space space space space space space space space space space space space space space space space equals log space 9 over 4 space space space space space space space space space space space space space space space space space space equals log space 9 minus log space 4 space space space space space space space space space space space space space space space space space space equals log space 3 squared minus log space 2 squared space space space space space space space space space space space space space space space space space space equals 2 space log space 3 minus 2 space log space 2 space space space space space space space space space space space space space space space space space space equals 2 n minus 2 m end style

0

Roboguru

Nilai dari  ....

Pembahasan Soal:

blank squared log space 8 space minus space squared log space 18 space plus space squared log space 36 space equals space squared log space left parenthesis fraction numerator 8 space. space 36 squared over denominator 18 end fraction right parenthesis space  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space squared log space left parenthesis 16 right parenthesis space  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space squared log space 2 to the power of 4 space  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 4. space squared log space 2 space space space space  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 4.1 space  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 4

0

Roboguru

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

Tapi Roboguru masih mau belajar. Menurut kamu pembahasan kali ini sudah membantu, belum?

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