Solve the following equation for \(x\):

\[
\log_{7} \left(\frac{1}{49}\right) = -x - 2
\]

l o g 7 ​ 49 1 ​ = − x − 2 l o g 7 ​ 7 − 2 = − x − 2 − 2 = − x − 2 x = − 2 + 2 x = 0

Answered by kate200468 | 2024-06-10

l o g 7 ​ ( 49 1 ​ ) = − x − 2 l o g 7 ​ 7 − 2 = − x − 2 7 − x − 2 = 7 − 2 − x − 2 = − 2 − x = 0 x = 0

Answered by Ryan2 | 2024-06-10

The solution to the equation lo g 7 ​ ( 49 1 ​ ) = − x − 2 is x = 0 . This is found by simplifying the left side using logarithmic properties. We rewrite the equation, solve for x , and find that x = 0 .
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Answered by kate200468 | 2024-12-17