Solve the equation 2lnx-4ln11=0

We'll move the number alone to the right
side:

2lnx = 4ln11

We'll use
the power property of logarithms:

ln x^2 = ln
11^4

Since the bases are matching, we'll use the one to one
property of logarithms:

x^2 =
11^4

We'll take square root both
sides:

x1 = sqrt 11^4

x1 =
11^2

x1 = 121

x2 =
-121

Since the solution of the equation has
to be positive for the logarithms to exist, we'll accept as a solution only x =
121.