Pertanyaan

Hasil 4 lo g 50 ( 4 lo g 10 ) 2 − ( 4 lo g 5 ) 2 adalah. . ..

Hasil $\frac{( ^{4} lo g 10 ) ^{2} - ( ^{4} lo g 5 ) ^{2}}{^{4} lo g 50}$ adalah. . . .

R. Hajrianti

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah C.

Pembahasan

Dengan menggunakan sifat bentuk logaritma berikut. Untuk dan hasil dari sebagai berikut. Oleh karena itu, jawaban yang benar adalah C.

Dengan menggunakan sifat bentuk logaritma berikut.

Untuk a comma space b greater than 0 dan a not equal to 1

hasil dari $fraction numerator open parentheses log presuperscript 4 space 10 close parentheses squared minus open parentheses log presuperscript 4 space 5 close parentheses squared over denominator log presuperscript 4 space square root of 50 end fraction$ sebagai berikut.

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator open parentheses log presuperscript 4 space 10 close parentheses squared minus open parentheses log presuperscript 4 space 5 close parentheses squared over denominator log presuperscript 4 space square root of 50 end fraction end cell row blank equals cell fraction numerator open parentheses log presuperscript 4 open parentheses 5 cross times 2 close parentheses close parentheses squared minus open parentheses log presuperscript 4 space 5 close parentheses squared over denominator log presuperscript 4 square root of 25 cross times 2 end root end fraction end cell row blank equals cell fraction numerator open parentheses log presuperscript 4 space 5 plus log presuperscript 4 space 2 close parentheses squared minus open parentheses log presuperscript 4 space 5 close parentheses squared over denominator log presuperscript 4 space square root of 25 plus log presuperscript 4 space square root of 2 end fraction 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 Sifat space 1 end cell row blank equals cell fraction numerator open parentheses log presuperscript 4 space 5 close parentheses squared plus 2 cross times scriptbase log space 5 cross times scriptbase log space 2 plus end scriptbase presuperscript 4 end scriptbase presuperscript 4 open parentheses log presuperscript 4 space 2 close parentheses squared minus open parentheses log presuperscript 4 space 5 close parentheses squared over denominator log presuperscript 4 space 5 plus log presuperscript 4 space 2 to the power of begin display style 1 half end style end exponent end fraction end cell row blank equals cell fraction numerator open parentheses log presuperscript 4 space 5 close parentheses squared minus open parentheses log presuperscript 4 space 5 close parentheses squared plus 2 cross times scriptbase log space 5 cross times scriptbase log space 2 plus end scriptbase presuperscript 2 squared end presuperscript end scriptbase presuperscript 4 open parentheses log presuperscript 2 squared end presuperscript space 2 close parentheses squared over denominator log presuperscript 4 space 5 plus log presuperscript 2 squared end presuperscript space 2 to the power of 1 half end exponent end fraction end cell row blank equals cell fraction numerator 2 cross times log presuperscript 4 space 5 cross times begin display style 1 half end style cross times scriptbase log space 2 plus end scriptbase presuperscript 2 open parentheses begin display style 1 half end style cross times log presuperscript 2 space 2 close parentheses squared over denominator log presuperscript 4 space 5 plus open parentheses begin display style 1 half end style divided by 2 close parentheses cross times log presuperscript 2 space 2 end fraction space space space space space space space space space space space Sifat space 2 end cell row blank equals cell fraction numerator log presuperscript 4 space 5 cross times 1 plus open parentheses begin display style 1 half end style cross times 1 close parentheses squared over denominator log presuperscript 4 space 5 plus begin display style 1 fourth end style cross times 1 end fraction 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 Sifat space 3 end cell row blank equals cell fraction numerator scriptbase log space end scriptbase presuperscript 4 5 plus begin display style 1 fourth end style over denominator scriptbase log space end scriptbase presuperscript 4 5 plus 1 fourth end fraction end cell row blank equals 1 end table$

Oleh karena itu, jawaban yang benar adalah C.