Pertanyaan

Jika x1 dan x2 memenuhi persamaan : 10 lo g x 10 lo g 10 x 5 − 10 lo g x = 10 lo g x 5 , maka x1 + x2 = ....

Jika x1 dan x2 memenuhi persamaan : $\frac{^{10} lo g \frac{x ^{5}}{10}}{^{10} lo g x} -^{10} lo g x = \frac{5}{^{10} lo g x}$ , maka x1 + x2 = ....

5
6
60
110
1.100

8 dari 10 siswa nilainya naik

dengan paket belajar pilihan

Habis dalam

Klaim

P. Anggrayni

Master Teacher

Jawaban terverifikasi

Jawaban

x1 + x2 = 1.100

Pembahasan

Jadi x1 + x2 = 1.100

$fraction numerator space to the power of 10 log space x to the power of 5 minus to the power of 10 log space 10 over denominator space to the power of 10 log space x end fraction minus to the power of 10 log space x equals fraction numerator 5 over denominator space to the power of 10 log space x end fraction fraction numerator begin display style space 5. to the power of 10 log space x minus 1 end style over denominator begin display style space to the power of 10 log space x end style end fraction minus to the power of 10 log space x equals fraction numerator begin display style 5 end style over denominator begin display style space to the power of 10 log space x end style end fraction text Misalkan end text to the power of 10 log space x equals p fraction numerator begin display style fraction numerator 5 p minus 1 over denominator p end fraction minus p equals 5 over p end style over denominator space end fraction x space p 5 p minus 1 minus p squared equals 5 left right double arrow p squared minus 5 p plus 6 equals 0 open parentheses p minus 3 close parentheses open parentheses p minus 2 close parentheses equals 0 left right double arrow p equals 3 space text atau end text space p equals 2 to the power of 10 log space x subscript 1 equals 3 left right double arrow x subscript 1 equals 10 cubed equals 1000 to the power of 10 log space x subscript 2 equals 3 left right double arrow x subscript 2 equals 10 squared equals 100$

Jadi x1 + x2 = 1.100