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if 3^(x)=5^(y)(75)^(z) then Z=...

if `3^(x)=5^(y)(75)^(z)` then `Z=`

A

`(y)/(2+log-(5)3)`

B

`(x^(2)y^(2))/(2x+y)`

C

`(x)/(2log_(3)+5+1)`

D

`(xy)/(2x+y)`

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
`3^9x)=5^(y)=(75)^(z)=k`
`x=(lnk)/(ln3),y=(lnk)/(ln5)=(xln3)/(ln5)`
`z=(lnk)/(ln75),z=(lnk)/(ln3+2ln5)=(xy)/(2x+y)`
`=(x)/(2log_(3)5+1)=(y)/(2+log_(5)3)`
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