solve: i went this far: how would you finish it?
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You don't even need logs, just note that Now, what's the next step?
but wouldnt you get a different answer with logs?
Originally Posted by Krizalid doesnt this just turn every problem of its kind into x = 0? for instance with random numbers:
Originally Posted by incyt3s but wouldnt you get a different answer with logs? no you would not. Krizalid is right, logs are definitely not needed. however, if you do want to force the issue... we have take the log of both sides this second option is an impossibility, thus as we got from Krizalid's much simpler solution
Originally Posted by incyt3s doesnt this just turn every problem of its kind into x = 0? for instance with random numbers: technically no, but i guess in general yes. here's one where x is not zero (well, at least that's not the only solution)
Another way to see it is that a power of 2 can never have a factor of 5 or the other way. Thus technically x=0 is the only solution. But with , we can see we cant use the above idea.
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