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Question
Find x, if
\[\left( \frac{2}{5} \right)^{- 3} \times \left( \frac{2}{5} \right)^{15} = \left( \frac{2}{5} \right)^{2 + 3x}\]
Sum
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Solution
We have:
\[\left( \frac{2}{5} \right)^{- 3} \times \left( \frac{2}{5} \right)^{15} = \left( \frac{2}{5} \right)^{2 + 3x}\]
\[\left( \frac{2}{5} \right)^{12} = \left( \frac{2}{5} \right)^{2 + 3x}\]
12 = 2 + 3x
10 = 3x
`10/3=x`
`x=10/3`
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