Solve for \( x \):

\[
\log_{11} \frac{1}{121} = -x - 4
\]

l o g 11 ​ 121 = − x − 4 l o g 11 ​ 1 1 2 = − x − 4 2 = − x − 4 x = − 4 − 2 x = − 6

Answered by kate200468 | 2024-06-10

l o g 11 ​ 121 1 ​ = − x − 4 l o g 11 ​ 1 1 − 2 = − x − 4 1 1 − x − 4 = 1 1 − 2 − x − 4 = − 2 − x = − 2 + 4 − x = 2 x = − 2 ​

Answered by Ryan2 | 2024-06-10

The solution to the equation lo g 11 ​ 121 1 ​ = − x − 4 is x = − 2 . We arrived at this solution by rewriting the logarithm in terms of its base and isolating x through algebraic manipulation.
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Answered by kate200468 | 2024-12-24