Logs homework

  • Thread starter duki
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  • #1
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Homework Statement



[tex]ln(6xy)-3ln(2y)-1/3 ln x + ln 20[/tex]

The attempt at a solution

I can get to [tex]ln\left(\frac{120xy}{8y^3x^1^/^3}\right)[/tex]

And then to

[tex]ln\left(\frac{120}{8}*\frac{x}{x^1^/^3}*\frac{y}{y^3}\right)[/tex]

But then I am supposed to do something to get to [tex]ln\left(\frac{15yx^2^/^3}{y^2}\right)[/tex]

What do I do? how does [tex]\frac{x}{x^1^/^3}[/tex] turn into [tex]x^2^/^3[/tex] and how does [tex]\frac{y}{y^3}[/tex] turn into [tex]y^2[/tex] ?
 

Answers and Replies

  • #2
1,631
4
well x^p/x^q =x^(p-q)

same for y
 
  • #3
264
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o. simple. Thanks :)
 
  • #4
HallsofIvy
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Or
[tex]\frac{y}{y^3}= \frac{y}{y\cdot y\cdot y}= \frac{1}{y\cdot y}= \frac{1}{y^2}[/tex]
 

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