Solve the equation
( 5^{(x − 2)} = (1 ÷ 125)^{(x +3)})
( 5^{(x − 2)} = (1 ÷ 125)^{(x +3)})
-
A.
3/2 -
B.
− 7/4 -
C.
4/7 -
D.
7/4
Correct Answer: Option B
Explanation
( 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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