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If `f(x)=log_(10)(1+x)," then what is "4f(4)+5f(1)-log_(10)2` equal to ?

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`f(x)=log_(10)(1+x)`
`4.f(4)+5.f(1)-log_(10)2`
`=4.log_(10)(1+4)+5.log_(10)(1+1)-log_(10)2`
`=4log_(10)5+5log_(10)2-log_(10)2`
`=4log_(10)5+4log_(10)2`
`=4(log_(10)5+log_(10)2)`
`=4(log_(10)10)=4`

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