QuestionJuly 15, 2025

Solve the given equation for x. 9^2x=6561 x=square

Solve the given equation for x. 9^2x=6561 x=square
Solve the given equation for x.
9^2x=6561
x=square

Solution
4.7(230 votes)

Answer

x = 2 Explanation 1. Express 6561 as a power of 9 Recognize that 6561 = 9^4. 2. Set exponents equal Since 9^{2x} = 9^4, equate the exponents: 2x = 4. 3. Solve for x Divide both sides by 2: x = \frac{4}{2}.

Explanation

1. Express 6561 as a power of 9<br /> Recognize that $6561 = 9^4$.<br /><br />2. Set exponents equal<br /> Since $9^{2x} = 9^4$, equate the exponents: $2x = 4$.<br /><br />3. Solve for x<br /> Divide both sides by 2: $x = \frac{4}{2}$.
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