12^x-5 = 12^3x

find x

To find x, we can first simplify the equation by subtracting 12^3x from both sides:

12^x - 12^3x = 5

Next, we can attempt to factor out a common term to simplify further. Notice that both terms have 12^x in common, so we can factor that out:

12^x(1 - 12^(2x)) = 5

Now, we can divide both sides by (1 - 12^(2x)):

12^x = 5 / (1 - 12^(2x))

We can now solve for x by taking the logarithm of both sides. Let's take the logarithm base 12:

log12(12^x) = log12(5 / (1 - 12^(2x)))

x = log12(5 / (1 - 12^(2x)))

Unfortunately, there is no simple way to algebraically solve for x in this equation.