Answer:
To solve this equation, we can first rewrite it in a form that is easier to work with. We can do this by dividing both sides by 9^2, which gives us:
(9^2x+1)/9^2 = 27^x-3
We can then simplify the left side of the equation by taking the square root of both sides, which gives us:
3x+1/3 = 3^x-3
We can then rearrange the terms on the left side of the equation to get:
3x = 3^x-6
We can then subtract 3^x from both sides of the equation, which gives us:
3x-3^x = -6
We can then divide both sides of the equation by 3-3^x, which gives us the final solution:
x = -6 / (3-3^x)
This is the value of x that satisfies the original equation.
Explanation: