Find the solution interval of equation log3 x = 3-x Such as the title

Find the solution interval of equation log3 x = 3-x Such as the title

Because log3 x is an increasing function and 3-x is a decreasing function
So log3 x = 3-x has at most one solution
f(x)=log3 x-3+x
f(1)=0-3+10
So the root is in the interval (1,3)
To get a smaller range, you need a calculator
Anyway, if a