Question

Kuis:
9² = 3ⁿ
n = ....

Answer 1

Verified answer

Eksponen

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Sifat-Sifat Eksponen:

[tex]\begin{gathered} \begin{array}{ | c | c| c | } \hline\ \ \text{No}& \text{bentuk}& \text{penyederhanaan} \\ \hline 1 & a {}^{m} \times a {}^{n} &a {}^{(m + n)} \\ \hline 2 & (a {}^{m} ) {}^{n} &a {}^{(m \times n)} \\ \hline 3 & a {}^{n} \times {b}^{n} &(ab) {}^{n} \\ \hline 4 & a {}^{n} \div {b}^{n} &( \frac{a}{b} ) {}^{n} \\ \hline 5 & \frac{a {}^{m} }{ {a}^{n} } &a {}^{(m - n)} \\ \hline 6 & a {}^{0} &1 \: (a≠0) \\ \hline 7 & a {}^{ - n} & \frac{1}{a {}^{n} } \\ \hline 8 & a {}^{ \frac{m}{n} } & \sqrt[n]{a {}^{m} } \\ \hline 9 & ( \frac{a}{b}) {}^{ - n} & (\frac{b}{a} ) {}^{n} \\ \hline 10 & ( \frac{a}{b} ) {}^{n} & \frac{a {}^{n} }{ {b}^{n} } \\ \hline \end{array}\end{gathered}[/tex]

Penyelesaian Soal

[tex]\begin{aligned} 9^2 &= 3^n \\ (3^2)^2 &= 3^n \\3^4 &= 3^n \\ 4 &= n \end{aligned}[/tex]

Kesimpulan

Nilai n dari persamaan diatas adalah [tex]n=4[/tex]

[tex]\begin{array}{lr}\texttt{}\end{array}[/tex]

[tex]\boxed{\colorbox{ccddff}{Answered by Danial Alf'at | 06 - 05 - 2023}}[/tex]

Answer 2

Jawab:

9² = 3ⁿ

n = 4

Penjelasan dengan langkah-langkah:

9² = 3ⁿ

³log 9² = n

2 . ³log 9 = n

2 . ³log 3² = n

2 . 2 . ³log 3 = n

2 . 2 . 1 = n

4 = n