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After computing for the above two equations i get xy 106

Find all pairs (x,y) for which

log₁₀(x³) + log₁₀(y²) = 22

log₁₀(x²) - log₁₀(y³) = 6

After computing for the above two equations, I get (x,y) = (10⁶, 10²) is a solution. However, from the question, it looks like there are several solutions. I just want to check if there is any solution. If yes, can you explain to me?

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Mathematics: After computing for the above two equations i get xy 106

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