3^x+2+3*3^x=36

To solve the equation 3^x + 2 + 3 * 3^x = 36, we can first combine the terms with the same base, which is 3.

Rewriting the equation: 3^x + 3 * 3^x + 2 = 36

Now, combining the terms: 4 * 3^x + 2 = 36

Subtracting 2 from both sides of the equation: 4 * 3^x = 34

Dividing both sides of the equation by 4: (4 * 3^x) / 4 = 34 / 4 3^x = 8.5

To solve for x, we need to take the logarithm of both sides of the equation. Assuming base 3 logarithm:

log base 3 (3^x) = log base 3 (8.5) x = log base 3 (8.5)

Using a calculator, we can find the approximate value of x: x ≈ 1.61