high School⏱ 3 min

Logarithm Properties

Rules for working with logarithms

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-3-2-10123\ln(2)=0.69x=1
m=2
n=3
ln⁡(2⋅3)=ln⁡2+ln⁡3=0.693+1.099=1.792\ln(2\cdot3) = \ln2 + \ln3 = 0.693+1.099=1.792
ln⁡(23)=3⋅ln⁡2=2.079\ln(2^3) = 3\cdot\ln2 = 2.079

Logarithm converts multiplication to addition and powers to multiplication. That's why it was vital before calculators – people computed products using log tables.