The logarithm function is defined such that log(a) b = c
=> b = a^c
Here it is given that log3 x = 5
=> x = 3^5
=> x = 243
The required value of x = 243.
First, we'll impose that the root of the equation must respect the constraint of existence of logarithm.
We'll solve the equation taking antilogarithm:
x = 3^5
x = 243
Since the value of x is positive, then the root of the equation is x = 243.