Use the Laws of Logarithms to expand the expression. \log\frac{y^3}{\sqrt

Anonym

Anonym

Answered question

2021-10-14

Use the Laws of Logarithms to expand the expression.
logy32x

Answer & Explanation

sweererlirumeX

sweererlirumeX

Skilled2021-10-15Added 91 answers

Step 1
The given expression can be expanded using the following properties of logarithms. The exponent property of logarithm is logxy=ylogx
The sum property of logarithm is logx+logy=ylogxy
. The difference property of logarithm is logxlogy=logxy
Step 2
The given expression is logy32x Use the property of logarithms to expand this expression.
logy32x=logy3log2x
=3logylog(2x)12
=3logy12log(2x)
=3logy12log212logx

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