Solve: 493x = 3432x+1

Rewrite both sides using base 7: 49 = 7² and 343 = 7³. Then the equation becomes 7^(6x) = 7^(6x+3), which would require the exponents to be equal: 6x = 6x + 3. That is impossible, so the equation has no solution.

AI-written and checked against the verified answer.