Write the following expression as a sum and/or difference of logarithms. Express powers as factors....

Jason Farmer

Jason Farmer

Answered

2021-10-13

Write the following expression as a sum and/or difference of logarithms. Express powers as factors.
ln(e48)

Answer & Explanation

Fatema Sutton

Fatema Sutton

Expert

2021-10-14Added 88 answers

Step 1
We have to expand the logarithmic expression using properties of logarithms:
ln(e48)
We know that ln() is the natural logarithm which has base e.
We know the property of logarithms,
log(ab)=log(a)log(b)
mlog(a)=log(am)
loga(a)=1
Step 2
Applying above properties for the given expression, we get
ln(e48)=ln(e4)ln(8)
=4ln(e)ln(23)
=4loge(e)ln(23)
=4×13ln(2)
=43ln(2)
Hence, expanded form of expression is =43ln(2)
Note: we can write the value of expanded form of logarithm,
=43ln(2)=43×0.693=1.921
Jeffrey Jordon

Jeffrey Jordon

Expert

2021-11-03Added 2575 answers

Answer is given below (on video)

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