Solve for x: log3 x=5the 3 is a base

First, we'll impose that the root of the equation must
respect the constraint of existence of
logarithm.

x>0

We'll
solve the equation taking antilogarithm:

log3
x=5

x = 3^5

x =
243

Since the value of x is positive, then
the root of the equation is x = 243.