Question

$if \: 27 {}^{x} = \frac{9}{3 {}^{x} } \: then \: find \: x$
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Answer 1

Step-by-step explanation:

${27}^{x} = \frac{9}{ {3}^{x} } \\ \\ \\ = > {27}^{x} \times {3}^{x} = {3}^{2} \\ \\ \\ = > {3}^{3x} \times {3}^{x} = {3}^{2} \\ \\ = \geqslant {3}^{4x} = {3}^{2} \\ \\ = > 4x = 2 \\ \\ = > x = \frac{1}{2}$

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Answer 2

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