Find the exact value of each logarithm without using a calculator. \ln e^

aortiH 2021-11-09 Answered
Find the exact value of each logarithm without using a calculator.
lne3
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Expert Answer

Sally Cresswell
Answered 2021-11-10 Author has 91 answers
Step 1
We have to find the exact value of the logarithmic expression:
lne3
We know the properties of logarithms,
ln(am)=mln(a)
ln(a)=log3(a)
loga(a)=1
ln(e)=1
Step 2
Applying above properties for the given expression, we get
ln(e3)=3ln(e)
=3×1
=3
Hence, exact value of the expression is 3.
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