document.write( "Question 540870: Let $\"g%28x%29=%281%2F5%29%5Ex\"$ \r
\n" ); document.write( "\n" ); document.write( "Solve g(x)= $\"sqrt%285%29\"$ for x.\r
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\n" ); document.write( "\n" ); document.write( "Can anyone help me with this please? \n" ); document.write( "

Algebra.Com's Answer #353901 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for x:
\n" ); document.write( " $\"g%28x%29+=+%281%2F5%29%5Ex\"$ for $\"g%28x%29+=+sqrt%285%29\"$
\n" ); document.write( " $\"%281%2F5%29%5Ex+=+sqrt%285%29\"$ Rewrite the left and right sides: $\"%281%2F5%29%5Ex+=+%285%29%5E%28-x%29\"$ and $\"sqrt%285%29+=+%285%29%5E%281%2F2%29\"$
\n" ); document.write( " $\"%285%5E%28-1%29%29%5Ex+=+%285%29%5E%281%2F2%29\"$ Take the log of both sides.
\n" ); document.write( " $\"Log%285%29%5E%28-x%29+=+Log%285%29%5E%281%2F2%29\"$ Apply the \"power rule\".
\n" ); document.write( " $\"-x%2ALog%285%29+=+%281%2F2%29%2ALog%285%29\"$ Divide both sides by $\"Log%285%29\"$
\n" ); document.write( " $\"-x+=+%281%2F2%29%28Log%285%29%2FLog%285%29%29\"$ Simplify.
\n" ); document.write( " $\"-x+=+1%2F2\"$ Multiply by -1.
\n" ); document.write( " $\"highlight%28x+=+-%281%2F2%29%29\"$ \n" ); document.write( "

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