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4(lnz+ln(z+5))-2ln(z-5)

 Dec 18, 2014

Best Answer 

 #1
avatar+118725 
+10

4(lnz+ln(z+5))-2ln(z-5)

$$\\4(lnz+ln(z+5))-2ln(z-5)\\
=2[2(lnz+ln(z+5))-ln(z-5)]\\
=2[2lnz+2ln(z+5)-ln(z-5)]\\
=2[lnz^2+ln(z+5)^2-ln(z-5)]\\
=2[ln(z^2\times (z+5)^2 \div (z-5))]\\\\
=2\;ln\;\frac{z^2 (z+5)^2}{z-5}\\\\$$

 Dec 18, 2014
 #1
avatar+118725 
+10
Best Answer

4(lnz+ln(z+5))-2ln(z-5)

$$\\4(lnz+ln(z+5))-2ln(z-5)\\
=2[2(lnz+ln(z+5))-ln(z-5)]\\
=2[2lnz+2ln(z+5)-ln(z-5)]\\
=2[lnz^2+ln(z+5)^2-ln(z-5)]\\
=2[ln(z^2\times (z+5)^2 \div (z-5))]\\\\
=2\;ln\;\frac{z^2 (z+5)^2}{z-5}\\\\$$

Melody Dec 18, 2014

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