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Question
Find x, if
\[\left( \frac{5}{4} \right)^{- x} \div \left( \frac{5}{4} \right)^{- 4} = \left( \frac{5}{4} \right)^5\]
Sum
Solution
\[\left( \frac{5}{4} \right)^{- x} \div \left( \frac{5}{4} \right)^{- 4} = \left( \frac{5}{4} \right)^5\]
\[\left( \frac{5}{4} \right)^{- x+4} = \left( \frac{5}{4} \right)^5\]
-x + 4 = 5
-x = 1
x = -1
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