Use the properties of logarithms to expand the quantity. \ln\frac{x^2}{(

kdgg0909gn

kdgg0909gn

Answered question

2021-11-06

Use the properties of logarithms to expand the quantity.
lnx2(y3z4)

Answer & Explanation

Steacensen69

Steacensen69

Beginner2021-11-07Added 15 answers

Step 1
It is given that, ln(x2y3z4)
Use the properties of logarithms,we have to expand the quantity.
Step 2
We have, ln(x2y3z4)
Now, ln(x2y3z4)=ln(x2)ln(y3z4),   {since  ln(mn)=ln(m)ln(n)}
ln(x2y3z4)=ln(x2)[ln(y3)+ln(z4)],   {since,  ln(m×n)=ln(m)+ln(n)}
ln(x2y3z4)=2ln(x)3ln(y)4ln(z),   {since,  ln(ma)=aln(m)}
Hence,  ln(x2y3z4)=2ln(x)3ln(y)4ln(z)

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