Proof: Log of an Exponential
Let's prove the following theorem:
logb(bp) = p
Proof:
Additional Assumptions
1 | logb(bp) = m |
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# | Claim | Reason |
---|---|---|
1 | bm = bp | if logb(bp) = m, then bm = bp |
2 | m = p | if bm = bp, then m = p |
3 | logb(bp) = p | if logb(bp) = m and m = p, then logb(bp) = p |
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