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Write the exponential equation 3-²=(1)/(9) log(3)=-2

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Final answer:

To solve the exponential equation 3^-2 = 1/9, we can rewrite 3^-2 as (1/3)^2 and set the exponents equal to each other. The equation is true.

Step-by-step explanation:

The given equation is 3-2 = 1/9.

To solve this equation, we can rewrite 3-2 as (1/3)2. Now we have (1/3)2 = 1/9.

Since both sides of the equation have the same base (1/3), we can set the exponents equal to each other.

2 = 2, so the equation is true.

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