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Solve 8x + ...

Question

Solve $\frac{8^{x} + 27^{x}}{12^{x} + 18^{x}} = \frac{7}{6}$

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Solution

$\frac{8^{x} + 27^{x}}{12^{x} + 18^{x}} = \frac{7}{6}$

By hit and Trial Method
Put $x = 1$

$\frac{8 + 27}{12 + 18} = \frac{35}{30} = \frac{7}{6}$

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