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

To solve the equation 3^x + 2 + 3 * 3^x = 36, we can simplify it first:

Combine like terms: 3^x + 3*3^x + 2 = 36

Combine the terms with 3^x: 4 * 3^x + 2 = 36

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

Divide both sides by 4: 3^x = 34 / 4

Divide both sides by 4 to express the equation in exponential form: 3^x = 8.5

To solve for x, we need to take the logarithm of both sides. Assuming the base is 10:

x * log(3) = log(8.5)

Divide both sides by log(3): x = log(8.5) / log(3)

Using a calculator, we can find the approximate value of x to be:

x ≈ 1.529