Pertanyaan

Diketahui 3 lo g 5 = p . Nilai 25 lo g 81 = ...

Diketahui $^{3} lo g 5 = p$ . Nilai $^{25} lo g 81 = ...$

$fraction numerator p plus 1 over denominator p end fraction$
$fraction numerator p over denominator p plus 1 end fraction$
$fraction numerator p plus 1 over denominator 2 p end fraction$
$fraction numerator 2 p over denominator p plus 1 end fraction$

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Ingat sifat logaritma Sehingga Dengan demikian, jawaban yang tepat adalah A.

Ingat sifat logaritma

$table attributes columnalign right center left columnspacing 0px end attributes row cell space to the power of a to the power of n end exponent log space b to the power of m end cell equals cell m over n cross times to the power of a log space b end cell row cell space to the power of b log space a end cell equals cell fraction numerator 1 over denominator space to the power of a log space b end fraction end cell end table$

Sehingga

$table attributes columnalign right center left columnspacing 0px end attributes row cell space to the power of space 25 end exponent log space 81 end cell equals cell space to the power of 5 squared end exponent log space 3 to the power of 4 end cell row blank equals cell 4 over 2 cross times space to the power of 5 log space 3 end cell row blank equals cell 2 cross times to the power of 5 log space 3 end cell row blank equals cell 2 cross times fraction numerator 1 over denominator space cubed log space 5 end fraction end cell row blank equals cell 2 cross times 1 over p end cell row blank equals cell 2 over p end cell end table$

Dengan demikian, jawaban yang tepat adalah A.