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If (5/12)-4 x (5/12)3x = (5/12)5, then x = ?

A. -1 

B.

C.

D. 3

1 Answer

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Best answer

\((\frac{5}{12})^{-4}\times(\frac{5}{12})^{3x}=(\frac{5}{12})^5\)

\(\Rightarrow (\frac{5}{12})^{-4+3x}=(\frac{5}{12})^5\)

\(\Rightarrow \) 3x = 5 + 4 = 9

\(\Rightarrow x=\frac{9}{3}=3\)

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