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In Mathematics / High School | 2014-11-01

Solve for \( x \).

\[ 9^{x-5} = 27 \]

Asked by natcowart

Answer (3)

9 x − 5 = 27 3 2 ( x − 5 ) = 3 3 2 ( x − 5 ) = 3 2 x − 10 = 3 2 x = 3 + 10 2 x = 13 x = 2 13 ​ ​

Answered by mariamikayla | 2024-06-10

9 x − 5 = 27 3 2 ( x − 5 ) = 3 3 2 ( x − 5 ) = 3 2 x − 10 = 3 2 x = 13 x = 2 13 ​

Answered by konrad509 | 2024-06-10

To solve the equation 9 x − 5 = 27 , we rewrite the bases as powers of 3. After simplifying, we find that x = 2 13 ​ .
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Answered by mariamikayla | 2024-12-19