Aku n MATEMATIKA cah SMA Nda: Jawaban TryOUt ITB 2012

NO. 01
$\dpi{80} \fn_phv misal\, \, \sqrt{x\sqrt{y\sqrt{z\sqrt{x\sqrt{y\sqrt{z...}}}}}}=m\, \, \, \, kuadratkan\, kedua \, ruas$
$\dpi{80} \fn_phv x.{\sqrt{y\sqrt{z\sqrt{x\sqrt{y\sqrt{z...}}}}}}=m^{2}\, \, \, \, kuadratkan\, kedua \, ruas$
$\dpi{80} \fn_phv x^{2}.y{\sqrt{z\sqrt{x\sqrt{y\sqrt{z...}}}}}=m^{4}\, \, \, \, kuadratkan\, kedua \, ruas$
$\dpi{80} \fn_phv x^{4}.y^{2}.z{\sqrt{x\sqrt{y\sqrt{z...}}}}=m^{8}\Rightarrow x^{4}.y^{2}.z.m=m^{8}$
$\dpi{100} \fn_phv \left (m \right ).(x^{4}.y^{2}.z-m^{7})=0\Rightarrow m=0\, or\, m=x^{\frac{4}{7}}.y^{\frac{2}{7}}.z^{\frac{1}{7}}$
$\inline \dpi{100} \fn_phv {\color{Red} log}\, m={\color{Red} log}\, \left (x^{\frac{4}{7}}.y^{\frac{2}{7}}.z^{\frac{1}{7}} \right )=\frac{4}{7}.log\, x+\frac{2}{7}.log\, y+\frac{1}{7}.log\, z$
$\inline \fn_phv \frac{4}{7}.\left ( 8 \right )+\frac{2}{7}.\left ( 9 \right )+\frac{1}{7}.\left ( 10 \right )=\frac{60}{7}$

NO. 02

Aku n MATEMATIKA cah SMA Nda

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Selasa, Januari 24, 2012

Jawaban TryOUt ITB 2012

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