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Witch question is equivalent to (1/3)^x=27^x+2

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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)?"

User Tim Vermaelen
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