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For what value of x is the ninth term in...

For what value of x is the ninth term in the expansion of `(3^(log_3 sqrt(25^(x-1) +7)) + 3^(-1/8 log_3 (5^(x-1) +1)))^10` is equal to `180`

A

a prime number

B

a natural number

C

has non-zero fractional part

D

None of these

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The correct Answer is:
B
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