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JAMB Mathematics 2012 Paper

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Question : 5

Total: 48

If 27

^{x+2}

\div

^{x+1}

^{2x}

, find x.

3
4
5
6

Solution:

$27^{x+2} \div 9^{x+1} = 3^{2x}$

$3^{3(x+2)} \div 3^{2(x+1)} = 3^{2x}$

$3^{3x+6} \div 3^{2x+2} = 3^{2x}$

$\therefore (3x+6) - (2x+2) = 2x$

$x+4 = 2x \implies x = 4$

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