document.write( "Question 643242: Trying to figure out the answer to: (x-2)^1/3=2 \n" ); document.write( "
Algebra.Com's Answer #404588 by lwsshak3(11628)\"\" \"About 
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(x-2)^1/3=2
\n" ); document.write( "take log of both sides
\n" ); document.write( "(1/3)log(x-2)=log2
\n" ); document.write( "log(x-2)=3log2=log(2^3)
\n" ); document.write( "x-2=2^3=8
\n" ); document.write( "x=10
\n" ); document.write( "check:
\n" ); document.write( "(x-2)^1/3
\n" ); document.write( "=(10-2)^(1/3)
\n" ); document.write( "=8^(1/3)
\n" ); document.write( "=2
\n" ); document.write( "
\n" );