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Solve the following equations: (i)\ 3^(x...

Solve the following equations: `(i)\ 3^(x+1)=27\ xx\ 3^4` `\ (ii)4^(2x)=(16 3)^(-6/y)=(sqrt(8))^2` `(iii)\ 3^(x-1)\ xx\ 5^(2y-3)=225` `(iv)\ 8^(x+1)=16^(x+2)` and, `(v)\ (1/2)^(3+x)=(1/4)^(3y)` `4^(x-1)\ xx\ (0. 5)^(3-2x)=(1/8)^x` `sqrt(a/b)=(b/a)^(1-2x\ )` , where `a ,\ b` are distinct positive primes.

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