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Solve the equation for x : (i)\ 4^(2x)=...

Solve the equation for `x :` `(i)\ 4^(2x)=1/(32)` `(ii)\ sqrt((3/5)^(1-2x))=4(17)/(27)`

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(i) `4^(2x)=1/32`
`(2^2)^(2x)=1/2^5`
`2^(4x)=2^(-5)`
`4x=-5`
`x=-5/4`

(ii) `sqrt((3/5)^(1-2x))=4(17)/(27)`
`((3/5)^(1-2x))^(1/2)=125/27`
`(3/5)^(1/2-x)=(3/5)^(-3)`
`1/2-x=-3`
`-x=-3-1/2`
`x=3+1/2`
`x=7/2`
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