Pertanyaan

Jika 2 lo g p + 4 lo g q 1 = 4 , nilai p 2 q = ...

Jika $\frac{1}{^{2} lo g p + ^{4} lo g q} = 4$ , nilai $p^{2} q = ...$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Ingat sifat logaritma Sehingga Maka . Selanjutnya Dengan demikian, jawaban yang tepat adalah B.

Ingat sifat logaritma

Sehingga

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 1 over denominator space squared log space p plus space to the power of 4 log space q end fraction end cell equals 4 row cell fraction numerator 1 over denominator space squared log space p plus to the power of 2 squared end exponent log space q end fraction end cell equals 4 row cell fraction numerator 1 over denominator space squared log space p plus begin display style 1 half end style cross times squared log space q end fraction end cell equals 4 row cell fraction numerator 1 over denominator space squared log space p plus squared log space q to the power of begin display style 1 half end style end exponent end fraction end cell equals 4 row cell fraction numerator 1 over denominator space squared log space open parentheses p q to the power of begin display style 1 half end style end exponent close parentheses end fraction end cell equals cell 4 squared log space open parentheses p q to the power of 1 half end exponent close parentheses equals 1 fourth squared log space open parentheses p q to the power of 1 half end exponent close parentheses equals squared log space open parentheses 2 to the power of 1 fourth end exponent close parentheses end cell end table$

Maka p q to the power of 1 half end exponent equals 2 to the power of 1 fourth end exponent . Selanjutnya

Dengan demikian, jawaban yang tepat adalah B.