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LogBench
logₐ(n) = ln(n) / ln(a).
logₐ(n) answers 'to what power must a be raised to get n?' — it undoes exponentiation the same way division undoes multiplication, and any base can be computed via the change-of-base formula using natural logs.
The Richter earthquake scale, decibels for sound, pH for acidity, and the time to double an investment (via the rule of 70) all rely on logarithms to compress huge ranges into manageable numbers.
logₐ(n)
2
logₐ(n) = ln(n) / ln(a)
What you entered
Natural log of n
ln(100)= 4.6052Natural log of base 10
ln(10)= 2.3026Change of base: divide
ln(100) ÷ ln(10)= 2Result
logₐ(n): 2
log base 10 of 100 is 2.