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If 3^(log(3)(5))+5^(log(x)3) =8 then fin...

If `3^(log_(3)(5))+5^(log_(x)3) =8` then find the value of x.

A

3

B

5

C

4

D

8

Text Solution

Verified by Experts

The correct Answer is:
B
` 3( log_(3)5 ) + 5^(log_(x)3) = 8`
` Rightarrow 5 + 5^(log_(x) 3) =8`
` Rightarrow 5 log_(x)3) =3`
` 3^(log_(x) 5) =3`
` log_(x) 5=1`
`Rightarrow log_(x) 5=1`
` Rightarrow x=5`
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