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WAEC - Further Mathematics (2021 - No. 5)

Solve (\(\frac{1}{9}\))\(^{x + 2}\) = 243\(^{x - 2}\) 
\(\frac{7}{5}\)
\(\frac{6}{7}\)
\(\frac{-7}{6}\)
\(\frac{-6}{7}\)

توضيح

(\(\frac{1}{9}\))\(^{x + 2}\) = 243\(^{x - 2}\)

3\(^{-2(x + 2)}\) = 3\(^{5(x - 2)}\);

-2(x+2) = 5(x - 2)

-2x -4 = 5x - 10

-7x = -6

x = \(\frac{6}{7}\)

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