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

aortiH

aortiH

Answered question

2021-11-09

Find the exact value of each logarithm without using a calculator.
lne3

Answer & Explanation

Sally Cresswell

Sally Cresswell

Skilled2021-11-10Added 91 answers

Step 1 
The exact value of the logarithmic expression must be determined:
lne3 
We know the properties of logarithms, 
ln(am)=mln(a) 
ln(a)=log3(a) 
loga(a)=1 
ln(e)=1 
Step 2 
Applying the aforementioned characteristics to the given expression, we obtain
ln(e3)=3ln(e) 
=3×1 
=3 
Hence, exact value of the expression is 3.

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