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In the case of integers, solving the DLP is finding a solution to $n=\log_b(x)$ given $b$ and $x$. There's a "log" in the equation, so the name DLP makes sense.

In the context of ECC, many texts reference the DLP when discussing key generation, $K = k \cdot G$. However, there aren't any "log"s being obviously used here or in the addition / doubling / multiplication operations. Where are the logarithms used in ECC? What operation or equation does the "logarithm" in DLP get its name from in the context of ECC?

aryzing
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