Solve: 493x = 3432x+1

Rewrite both bases as powers of 7: 49 = 7² and 343 = 7³. Then 49^(3x) = 343^(2x+1) becomes 7^(6x) = 7^(6x+3), which would require 6x = 6x + 3. That is impossible, so the equation has no solution (choice D).

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