SOLUTION: log2x+5log2y−3log2z how do you make this a single log?

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Question 528380: log2x+5log2y−3log2z how do you make this a single log?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify: I'm assuming that by Log2x you meanLog%5B2%5D%28x%29 (base 2).
Log%5B2%5D%28x%29%2B5%2ALog%5B2%5D%28y%29-3%2ALog%5B2%5D%28z%29 First apply the "power rule" to the second and third terms.
Log%5B2%5D%28x%29%2Bhighlight%28Log%5B2%5D%28y%5E5%29-Log%5B2%5D%28z%5E3%29%29 Now apply the "quotient rule" to the second and third terms.
Log%5B2%5D%28x%29%2Bhighlight%28Log%5B2%5D%28y%5E5%2Fz%5E3%29%29 Now apply the"product rule".
highlight_green%28Log%5B2%5D%28x%2Ay%5E5%2Fz%5E3%29%29