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2 comments:
I'm not sure how to proceed with this proof. Could you point me towards the first step?
Differentiate both sides, like it says in the question. You'll run into a problem midway through the chain rule derivation of the right side:
1 = ln(a)*a^(loga(x))*(d/dx)(loga(x))
where loga(x) means "log base a at x"
we can't proceed past (d/dx)(loga(x)) since we don't "know it" yet. We are, in fact, looking for it. Nevertheless, we have the above expression, which is still useful. What can you do with it?
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