Question

Fon Log dunction, [ text { number should always be }>0 text { . } ]
( therefore quad x^{2}-5 x+16>0 )
) bon all ( x in R )
Now
[
1-log _{10}left(x^{2}-5 x+16right)>0
]
( Rightarrow quad log _{10}left(x^{2}-5 x+16right)<0.1 )
[
begin{array}{c}
x^{2}-5 x+16<10
x^{2}-5 x+6<0
(x-2)(x-3)<0
x=(2,3)
end{array}
]
Domain bon ( x ) is

# Find the domain of the following logio (1-logo (x?_S2+16) I

Solution