Use properties of logarithms to rewrite the expression as a sum, difference, or

OlmekinjP

OlmekinjP

Answered question

2021-10-20

Use properties of logarithms to rewrite the expression as a sum, difference, or multiple of logarithms.
ln3xx25

Answer & Explanation

Nichole Watt

Nichole Watt

Skilled2021-10-21Added 100 answers

Step 1
We have expand the given expression by using the properties of logarithms
Step 2
ln3xx25=ln(3x)ln(x25)
=ln(3)+ln(x)ln(x25)12
=ln(3)+ln(x)12ln(x25)
Hence, ln3xx25=ln(3)+ln(x)12ln(x25)
Note:
(1)  log(mn)=logm+logn
(2)  log(mn)=log(m)log(n)
(3)  ln(mn)=nln(m)
(4)  ln(1)=0
(5)  ln(e)=1

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