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If 3^(3x)=(9)/(3^(x)), find the value of...

If `3^(3x)=(9)/(3^(x))`, find the value of `x`.

Text Solution

Verified by Experts

The correct Answer is:
`1/2`
`3^(3x)=(9)/(3^(x))rArr 3^(3x)=(3^(2))/(3^(x))=3^(2-x)`
`rArr" "3x=2-xrArr4x=2rArrx=(2)/(4)=(1)/(2)``
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