Solve for \( x \) in the equation:

\[ \log_{\frac{3}{5}} \left(\frac{25}{9}\right) = x - 2 \]

l o g 5 3 ​ ​ 9 25 ​ = x − 2 l o g 5 3 ​ ​ ( 5 3 ​ ) − 2 = x − 2 − 2 = x − 2 − x = − 2 + 2 − x = 0 x = 0

Answered by kate200468 | 2024-06-10

l o g 5 3 ​ ​ ( 9 25 ​ ) = x − 2 ( 5 3 ​ ) x − 2 = ( 5 3 ​ ) − 2 x − 2 = − 2 x = 0 ​

Answered by Ryan2 | 2024-06-10

To solve the equation lo g 5 3 ​ ​ ( 9 25 ​ ) = x − 2 , we rewrite it to find that x = 0 . The logarithmic expression simplifies to reveal this value after using properties of logarithms.
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Answered by kate200468 | 2025-04-13