Soal 27

Carilah $x \in \mathbb{R}$ yang memenuhi $\Large{(\frac{x}{7})^x}=7^{7^2}$

Solusi

$\Large{(\frac{x}{7})^x}=7^{7^2}$

$\Large{(\frac{x}{7})^x}=7^{49}$

$\Large{\sqrt[7]{(\frac{x}{7})^x}}=\sqrt[7]{7^{49}}$

$\Large{(\frac{x}{7})^{\frac{x}{7}}}=7^{\frac{49}{7}}$

$\Large{(\frac{x}{7})^{\frac{x}{7}}}=7^7$

Cukup jelas $\large{\frac{x}{7}}=7$

Dengan demikian, $x=49$