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If f: A->B given by 3^(f(x))+2^(-x)=4 is...

If `f: A->B` given by `3^(f(x))+2^(-x)=4` is a bijection, then `A={x in R :-1

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`f: A -> B `

`3^{f(x)}+2^{-x}=4 `

`Rightarrow 3^{f(x)}=4-2^{-x}`

Taking log on both the sides,

`f(x) log 3=log (4-2^{-x}) `

`Rightarrow f(x)=frac{log (4-2^{-x})}{log 3}`

...
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