Prakalkulus Contoh

$\frac{\ln ({(x - 5)}^{\frac{1}{3}} {(x^{2} + 1)}^{\frac{3}{7}})}{\ln ({(3 x + 1)}^{\frac{4}{3}} {(x^{3} - 1)}^{- \frac{1}{7}})}$

Langkah 1

Tulis kembali pernyataannya menggunakan aturan eksponen negatif $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{\ln ({(x - 5)}^{\frac{1}{3}} {(x^{2} + 1)}^{\frac{3}{7}})}{\ln ({(3 x + 1)}^{\frac{4}{3}} \frac{1}{{(x^{3} - 1)}^{\frac{1}{7}}})}$

Langkah 2

Gabungkan ${(3 x + 1)}^{\frac{4}{3}}$ dan $\frac{1}{{(x^{3} - 1)}^{\frac{1}{7}}}$ .

$\frac{\ln ({(x - 5)}^{\frac{1}{3}} {(x^{2} + 1)}^{\frac{3}{7}})}{\ln (\frac{{(3 x + 1)}^{\frac{4}{3}}}{{(x^{3} - 1)}^{\frac{1}{7}}})}$