document.write( "Question 615239: Hello, I was wondering if you may be able to help me with this problem, I've tried applying what I know, but it doesn't seem to come out right...
\n" ); document.write( "(1/9)^3x=27\r
\n" ); document.write( "\n" ); document.write( "So what I've tried is...
\n" ); document.write( "1. Setting the bases equal
\n" ); document.write( "So, basically,
\n" ); document.write( "3^2(-3x)=3^3\r
\n" ); document.write( "\n" ); document.write( "**I did (-3x) because it's under a 1 in the original problem, I feel that this may be where I am having issues.\r
\n" ); document.write( "\n" ); document.write( "2.Solve for X.
\n" ); document.write( "2(-3x)=3
\n" ); document.write( "-6x=3
\n" ); document.write( "x=-2\r
\n" ); document.write( "\n" ); document.write( "However when I try to check my work, the problem just doesn't seem to come out right with X being -2. I would greatly appreciate your time and help! Many regards, -Sarah.
\n" ); document.write( "

Algebra.Com's Answer #387027 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"+%281%2F9%29%5E3x=27+\"
\n" ); document.write( "Note That \"+1%2F9+=+%281%2F3%29%5E2+\", so
\n" ); document.write( "\"+%281%2F9%29%5E%283x%29+=+27+\"
\n" ); document.write( "\"+%28%281%2F3%29%5E2%29%5E%283x%29+=+3%5E3+\"
\n" ); document.write( "\"+%28+1%2F3+%29%5E%286x%29+=+3%5E3+\"
\n" ); document.write( "I can take the cube root of both sides
\n" ); document.write( "\"+%281%2F3%29%5E%282x%29+=+3+\"
\n" ); document.write( "\"+%28+1%2F3+%29%5E%282x%29+=+%281%2F3%29%5E%28-1%29+\"
\n" ); document.write( "\"+2x+=+-1+\"
\n" ); document.write( "\"+x+=+-1%2F2+\"
\n" ); document.write( "-----------
\n" ); document.write( "check:
\n" ); document.write( "\"+%281%2F9%29%5E3x=27+\"
\n" ); document.write( "\"+%281%2F9%29%5E%283%2A%28-1%2F2%29%29=27+\"
\n" ); document.write( "\"+%281%2F9%29%5E%28-3%2F2%29+=+3%5E3+\"
\n" ); document.write( "\"+%28%281%2F3%29%5E2%29%5E%28-3%2F2%29+=+3%5E3+\"
\n" ); document.write( "\"+%281%2F3%29%5E%28-3+%29+=+3%5E3+\"
\n" ); document.write( "\"+1+%2F+%281%2F3%29%5E3+=+3%5E3+\"
\n" ); document.write( "\"+3%5E3+=+3%5E3+\"
\n" ); document.write( "
\n" );