Pertanyaan

x lo g ( x + 12 ) − 3 x lo g 4 + 1 = ...

$^{x} lo g (x + 12) - 3^{x} lo g 4 + 1 =$ ...

$log presuperscript x space open parentheses fraction numerator x squared plus 12 x over denominator 64 end fraction close parentheses$
$log presuperscript x space open parentheses fraction numerator x squared plus 12 over denominator 64 end fraction close parentheses$
$log presuperscript x space open parentheses fraction numerator 64 over denominator x squared plus 12 end fraction close parentheses$
$log presuperscript x space open parentheses fraction numerator 64 over denominator x squared plus 12 x end fraction close parentheses$

R. Hajrianti

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Perlu diingat bahwa: Perhatikan perhitungan berikut: Sehingga, bentuk sederhana dari adalah . Jadi, jawaban yang tepat adalah A.

Perlu diingat bahwa:

$log presuperscript a space a equals 1 log presuperscript a space b to the power of c equals c times log presuperscript a space b Jika space a greater than 0 comma space a not equal to 1 comma space f left parenthesis x right parenthesis greater than 0 space dan space g left parenthesis x right parenthesis greater than 0 space space maka colon log presuperscript a space open square brackets f left parenthesis x right parenthesis times g left parenthesis x right parenthesis close square brackets equals log presuperscript a space f left parenthesis x right parenthesis plus log presuperscript a space g left parenthesis x right parenthesis log presuperscript a space open square brackets fraction numerator f left parenthesis x right parenthesis over denominator g left parenthesis x right parenthesis end fraction close square brackets equals log presuperscript a space f left parenthesis x right parenthesis minus log presuperscript a space g left parenthesis x right parenthesis$

Perhatikan perhitungan berikut:

$table attributes columnalign right center left columnspacing 0px end attributes row cell log presuperscript x space open parentheses x plus 12 close parentheses minus 3 log presuperscript x space 4 plus 1 end cell equals cell log presuperscript x space open parentheses x plus 12 close parentheses minus log presuperscript x space 4 cubed plus 1 end cell row blank equals cell log presuperscript x space open parentheses x plus 12 close parentheses minus log presuperscript x space 64 plus 1 end cell row blank equals cell log presuperscript x space open parentheses x plus 12 close parentheses minus log presuperscript x space 64 plus log presuperscript x space x end cell row blank equals cell log presuperscript x space open parentheses x plus 12 close parentheses plus log presuperscript x space x minus log presuperscript x space 64 end cell row blank equals cell log presuperscript x space open parentheses x plus 12 close parentheses left parenthesis x right parenthesis minus log presuperscript x space 64 end cell row blank equals cell log presuperscript x space open parentheses x squared plus 12 x close parentheses minus log presuperscript x space 64 end cell row blank equals cell log presuperscript x space open parentheses fraction numerator x squared plus 12 x over denominator 64 end fraction close parentheses end cell end table$

Sehingga, bentuk sederhana dari log presuperscript x space open parentheses x plus 12 close parentheses minus 3 log presuperscript x space 4 plus 1 adalah $log presuperscript x space open parentheses fraction numerator x squared plus 12 x over denominator 64 end fraction close parentheses$ .

Jadi, jawaban yang tepat adalah A.