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

To solve the equation, we can simplify it first.

The equation is given as 3^x + 2 + 3 * 3^x = 36.

Combining like terms, we have 4 * 3^x + 2 = 36.

Subtracting 2 from both sides, we get 4 * 3^x = 34.

Now, divide both sides of the equation by 4 to isolate 3^x: 3^x = 34/4 = 8.5.

To solve for x, we can take the logarithm of both sides of the equation with base 3.

Taking the logarithm of both sides, log base 3 of 3^x = log base 3 of 8.5.

By the logarithmic property, the exponent can be brought down as a multiplier: x * log base 3 of 3 = log base 3 of 8.5.

The logarithm of the base times the base itself evaluates to 1, so x * 1 = log base 3 of 8.5.

Therefore, x = log base 3 of 8.5.

You can use a calculator to calculate log base 3 of 8.5, which is approximately 1.569.

So, x ≈ 1.569.