Pertanyaan

Apabila 3 . 8 1 4 9 n . 3 5 .2 7 3 = 27 maka nilai n sama dengan ...

Apabila $\frac{9 ^{n} . 3 ^{5} .2 7 ^{3}}{3 . 8 1 ^{4}} = 27$ maka nilai $n$ sama dengan ...

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F. Pratama

Master Teacher

Mahasiswa/Alumni Universitas Putra Indonesia YPTK Padang

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style fraction numerator 9 to the power of straight n.3 to the power of 5.27 cubed over denominator 3 straight space. straight space 81 to the power of 4 end fraction equals 27 fraction numerator 3 to the power of 2 straight n end exponent.3 to the power of 5.3 to the power of 9 over denominator 3 straight space. straight space 3 to the power of 16 end fraction equals 3 cubed fraction numerator 3 to the power of 2 straight n plus 5 plus 9 end exponent over denominator straight space 3 to the power of 16 plus 1 end exponent end fraction equals 3 cubed 3 to the power of 2 straight n plus 14 minus 17 end exponent equals 3 cubed 3 to the power of 2 straight n minus 3 end exponent equals 3 cubed 2 straight n minus 3 equals 3 2 straight n equals 6 straight n space equals space 3 end style$