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Solve the equation 5 x 2 1 125 x 3 - JAMB Mathematics 2015 Question

Solve the equation

( 5^{(x − 2)} = (1 ÷ 125)^{(x +3)})

A
3/2
B
− 7/4
C
4/7
D
7/4
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Correct Option: B

( 5^{(x − 2)} = (125^{−1} )^{(x + 3)}\

5^{(x − 2)} = (5− 3)^{x + 3}\

5^{(x − 2)} = 5^{− 3x − 9}\

x + 3x = − 9 + 2\

4x = − 7\

x = \frac{−7}{4} )

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