To solve the equation, we can start by subtracting 39 from both sides:

tim x 81 = 3^x + 3

Next, we can divide both sides by 81:

tim = (3^x + 3)/81

Simplifying further, we have:

tim = (3^x + 3)/3^4

tim = (3^x + 3)/81

Now, we can multiply both sides by 81:

81 * tim = 3^x + 3

81 * tim - 3 = 3^x

Since we have a variable in the exponent, we can take the logarithm of both sides. Let's use the natural logarithm (ln):

ln(81 * tim - 3) = ln(3^x)

Using the logarithmic property, we can bring down the exponent:

ln(81 * tim - 3) = x * ln(3)

Finally, we can solve for x by dividing both sides by ln(3):

x = ln(81 * tim - 3)/ln(3)

This is the solution for x in terms of tim.