document.write( "Question 528380: log2x+5log2y−3log2z how do you make this a single log? \n" ); document.write( "

Algebra.Com's Answer #349261 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Simplify: I'm assuming that by Log2x you mean $\"Log%5B2%5D%28x%29\"$ (base 2).
\n" ); document.write( " $\"Log%5B2%5D%28x%29%2B5%2ALog%5B2%5D%28y%29-3%2ALog%5B2%5D%28z%29\"$ First apply the \"power rule\" to the second and third terms.
\n" ); document.write( " $\"Log%5B2%5D%28x%29%2Bhighlight%28Log%5B2%5D%28y%5E5%29-Log%5B2%5D%28z%5E3%29%29\"$ Now apply the \"quotient rule\" to the second and third terms.
\n" ); document.write( " $\"Log%5B2%5D%28x%29%2Bhighlight%28Log%5B2%5D%28y%5E5%2Fz%5E3%29%29\"$ Now apply the\"product rule\".
\n" ); document.write( " $\"highlight_green%28Log%5B2%5D%28x%2Ay%5E5%2Fz%5E3%29%29\"$ \n" ); document.write( "

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