document.write( "Question 170275: Can someone please explain how to solve the following problem. Your assistance is greatly appreciated!
\n" ); document.write( "Express in terms of sums and differences of logarithms
\n" ); document.write( "log square root of x^4/yz
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Algebra.Com's Answer #125707 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Express in terms of sums or differences:
\n" ); document.write( " $\"Log%28sqrt%28x%5E4%2Fyz%29%29\"$ Rewrite the square root as an exponent:
\n" ); document.write( " $\"Log%28x%5E4%2Fyz%29%5E%281%2F2%29\"$ Apply the \"power\" rule.
\n" ); document.write( " $\"%281%2F2%29Log%28x%5E4%2Fyz%29\"$ Now apply the \"quotient\" rule.
\n" ); document.write( " $\"%281%2F2%29%28Log%28x%5E4%29-Log%28yz%29%29\"$ You can apply the \"power\" rule again to the first log.
\n" ); document.write( " $\"%281%2F2%29%284Log%28x%29-Log%28yz%29%29\"$ Now apply the \"product\" rule to the second logarithm.
\n" ); document.write( " $\"%281%2F2%29%284Log%28x%29-%28Log%28y%29%2BLog%28z%29%29%29\"$ Finally, multiply through by 1/2 to simplify.
\n" ); document.write( " $\"2Log%28x%29-%281%2F2%29Log%28y%29-%281%2F2%29Log%28z%29\"$ and this can also be written as:
\n" ); document.write( " $\"Log%28x%5E2%29-Log%28sqrt%28y%29%29-Log%28sqrt%28z%29%29\"$ \n" ); document.write( "

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