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Question

Solve the following equations:
6x=5x1213.

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Solution

6x=5x12136x=5x13

Put x=t

6t=5t136t2+13t5=06t22t+15t5=02t(3t1)+5(3t1)=0(2t+5)(3t1)=0t=52,13x=tx=t2x=(52)2,(13)2x=254,19


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