Solve for x equation 1+log3 x =2 .

The solution of the equation has to respect the constraint
of existence of logarithm:

x >
0

We'll write the value 1 = log3
3

We'll use the produt rule of
logarithms:

log3 3 + log3 x = log3
(3x)

We'll solve the equation, taking
anti-log:

log3 (3x) = 2

3x =
3^2

3x = 9

We'll divide by
3:

x = 3

Since
the value of x is positive, we'll accept it as solution of the equation, so x =
3.