Solve the following equation- 32x -3 - 9x - 1 - 272x3 - 675

3^2x 3 9^x 1+27^2x/3=675 3^2x 3 3^2x 2+3^2x=675 3^2x 3(1 3+27)=675 3^2x 3.25=675 3^2x 3=3^3 x=3 ...

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Property 4

Solve the fol...

Question

Solve the following equation:
$3^{2 x - 3} - 9^{x - 1} + 27^{\frac{2 x}{3}} = 675$

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Solution

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3^{2 x - 3} - 9^{x - 1} + 27^{2 x / 3} = 675

6 (3 x + 2) - 5 (6 x - 1) = 3 (x - 8) - 5 (7 x - 6) + 9 x

3 (2 x - 1) = 9 x + 27

3^{2 x + 1} + 10. 3^{x} + 3 = 0

Solve the following equation:

$\frac{2 x}{x - 3} + \frac{1}{2 x + 3} + \frac{3 x + 9}{(x - 3) (2 x + 3)} = 0; x \neq 3, x \neq - \frac{3}{2}$

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