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Question

If `2^x xx 8^(1/5) =  2^(1/5),   then  x ` is equal to :


Options:
A .  `1/5`
B .  `- 1/5`
C .  `2/5`
D .  `- 2/5`
Answer: Option D

`2^x xx 8^(1/5) =  2^(1/5)   hArr   2^x xx (2^3)^(1/5)   = 2^(1/5)     hArr  2^x xx 2^(3/5) =  2^(1/5)`

`hArr    2^(x + 3/5) = 2^(1/5)`

`hArr   x + 3/5 =  1/5  hArr   x = (1/5 - 3/5) =  -(2)/(5).`




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