Natural Logarithms
Hey everyone, this is Sharlyne. Todays class was mostly a review of the previous lessons we've learned except for one thing. We learned that if there is no base beside the ln, it is always e.
Hey everyone, this is Sharlyne. Todays class was mostly a review of the previous lessons we've learned except for one thing. We learned that if there is no base beside the ln, it is always e.
Therefore, e = e¹ = 1
Common Logarithms: y = log x -> 10^y = x
x = log y -> 10^x = y
x = log y -> 10^x = y
Natural Logarithms: y = ln x -> e^y = x
x = ln y -> e^x = y
NOTE: All Natural Logarithms use the same laws and patterns as Common Logarithms.
- Division - Subtraction
- Multiplication - Addition
- Exponents - Move to the front
- Same bases - Cancel
- Change of Base - use e instead of 10
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