To find an equivalent question to the equation (1/3)^x = 27^(x+2), we can rewrite the equation in a different form.
Let's start by expressing 27 as a power of 3. We know that 27 is equal to 3^3, so we can rewrite the equation as:
(1/3)^x = (3^3)^(x+2)
Next, we can simplify the right side of the equation by applying the properties of exponents. When raising a power to another power, we multiply the exponents. Therefore, we have:
(1/3)^x = 3^(3*(x+2))
Now, we can rewrite the equation as:
(1/3)^x = 3^(3x+6)
An equivalent question to the equation (1/3)^x = 27^(x+2) would be:
"What value of x satisfies the equation (1/3)^x = 3^(3x+6)?"