To solve this equation, we need to first simplify the expression on the left side:
27^(1-x) = 1/81
Since 1/81 is equivalent to 27^(-2), we can rewrite the equation as:
27^(1-x) = 27^(-2)
Now, we can set the exponents equal to each other:
1-x = -2
Next, solve for x:
1 - x = -x = 1 + x = 3
Therefore, the solution to the equation is x = 3.
To solve this equation, we need to first simplify the expression on the left side:
27^(1-x) = 1/81
Since 1/81 is equivalent to 27^(-2), we can rewrite the equation as:
27^(1-x) = 27^(-2)
Now, we can set the exponents equal to each other:
1-x = -2
Next, solve for x:
1 - x = -
x = 1 +
x = 3
Therefore, the solution to the equation is x = 3.