SOLUTION: 1-Express in terms of sums and differences of logarithms: log⁡ x^2y^2/z 2-Express as a single logarithm and, if possible, simplify: lnx^2 � 2 ln

Question 909046: 1-Express in terms of sums and differences of logarithms:
log⁡ x^2y^2/z

2-Express as a single logarithm and, if possible, simplify: lnx^2 � 2 ln √x
Thank you guys in advance

Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

1.  

When distributing a log over a division, the division becomes subtraction:


    

When distributing a log over a multiplication, the multiplication becomes addition:

    

In logs of exponentials, the exponents can be moved in front of the
logs as coefficients:

    

That's the final answer.

2.  

Move the 2 coefficient on the second term as an exponent

    

    

When you take out a log from a subtraction, the subtraction
becomes a division:

    

Simplify:

    

Edwin

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SOLUTION: 1-Express in terms of sums and differences of logarithms: log&#8289; x^2y^2/z 2-Express as a single logarithm and, if possible, simplify: lnx^2 � 2 ln

SOLUTION: 1-Express in terms of sums and differences of logarithms: log⁡ x^2y^2/z 2-Express as a single logarithm and, if possible, simplify: lnx^2 � 2 ln