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Question

If `3^x - 3^(x - 1)   = 18`, then the value  of  ` x^x` is :


Options:
A .  3
B .  8
C .  27
D .  216
Answer: Option C

`3^x - 3^(x - 1)   = 18 `   `hArr 3^(x - 1) (3 - 1) = 18   hArr  3^(x - 1) =  9 = 3^2  hArr  x - 1 = 2 hArr  x = 3`

`:.`  ` x^x =  3^3 = 27`



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