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無聊改卷後

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This is a standard question in a quiz:

Solve

3^x=324-3^{x-1}

One of my students gave the following so-called solution:

3^x=3^5+3^4-3^{x-1}

x=5+4-x+1

x=5

Genius! The answer is correct!

However, the method is invalid.

johnmayhk-oh



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