document.write( "Question 71156: 6^x=216. i know the answer is three but how do you find that algebraically? \n" ); document.write( "

Algebra.Com's Answer #50873 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for x:
\n" ); document.write( " $\"6%5Ex+=+216\"$ Take the logarithm of both sides.
\n" ); document.write( " $\"Log%286%5Ex%29+=+Log%28216%29\"$ Simplify the left side.
\n" ); document.write( " $\"xLog%286%29+=+Log%28216%29\"$ Divide both sides by Log(6)
\n" ); document.write( " $\"x+=+%28Log%28216%29%29%2FLog%286%29\"$ Evaluate using your calculator or log tables.
\n" ); document.write( " $\"x+=+3\"$ \n" ); document.write( "

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