Question

nilai x yang memenuhi (1/2) pangkat 2x = 256 adalah ​

Answer 1

Eksponen

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[tex]\begin{gathered} \begin{array}{ | c| c | } \hline\ \ \text{bentuk}& \text{penyederhanaan} \\ \hline a {}^{m} \times a {}^{n} &a {}^{(m + n)} \\ \hline (a {}^{m} ) {}^{n} &a {}^{(m \times n)} \\ \hline a {}^{n} \times {b}^{n} &(ab) {}^{n} \\ \hline a {}^{n} \div {b}^{n} &( \frac{a}{b} ) {}^{n} \\ \hline \frac{a {}^{m} }{ {a}^{n} } &a {}^{(m - n)} \\ \hline a {}^{0} &1 \: (a≠0) \\ \hline a {}^{ - n} & \frac{1}{a {}^{n} } \\ \hline a {}^{ \frac{m}{n} } & \sqrt[n]{a {}^{m} } \\ \hline \: ( \frac{a}{b}) {}^{ - n} & (\frac{b}{a} ) {}^{n} \\ \hline ( \frac{a}{b} ) {}^{n} & \frac{a {}^{n} }{ {b}^{n} } \\ \hline \end{array}\end{gathered}[/tex]

Penyelesaian Soal

[tex]( \frac{1}{2} ) {}^{2x} = 256[/tex]

[tex]~~2 {}^{ - 2x} = 2 {}^{8} [/tex]

[tex]~~ - 2x = 8[/tex]

[tex]~~~~~~~x = \frac{8}{ - 2} [/tex]

[tex]~~~~~~~x = - 4[/tex]

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[tex]\begin{array}{lr}\texttt{Rate 1.0 Jika Kalian Iri dengan}\\\\ \texttt{Yang Mulia Maharaja Danial Alf'at}\end{array}[/tex] ☝️

[tex]\boxed{\colorbox{ccddff}{Answered by Danial Alf'at | 17 - 03 - 2023}}[/tex]