Pertanyaan

Jika 3 x = p dan 3 y = q dengan p , q > 0 , maka nilai dari x + y 2 x + y adalah ... adalah ...

Jika $3^{x} = p dan 3^{y} = q dengan p, q > 0, maka nilai dari \frac{2 x + y}{x + y} adalah ...$ adalah ...

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style 3 to the power of straight x equals straight p left right double arrow straight x equals cubed logb 3 to the power of straight y equals straight q left right double arrow straight y equals cubed logq fraction numerator 2 straight x plus straight y over denominator straight x plus straight y end fraction equals fraction numerator 2 left parenthesis cubed logp right parenthesis plus cubed logq over denominator space cubed logp plus cubed logq end fraction space space space space space space space space space space equals fraction numerator blank cubed logp plus cubed logq over denominator space cubed logp plus cubed logq end fraction space space space space space space space space space space equals fraction numerator space cubed logp squared. straight q over denominator space cubed logp. straight q end fraction space space space space space space space space space space equals to the power of pq logp squared straight q space space space space space space space space space space equals to the power of pq log left parenthesis pq cross times straight p right parenthesis space space space space space space space space space space equals to the power of pq logpq plus to the power of pq logp equals 1 plus to the power of pq logp end style$