document.write( "Question 328842: Solve (1/81)^t = 243^t-2
\n" ); document.write( "a. 9/2
\n" ); document.write( "b. 10/9
\n" ); document.write( "c. 2/9
\n" ); document.write( "d. 9/10
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Algebra.Com's Answer #235596 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
\"%281%2F81%29%5Et+=+243%5Et-2\"
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\n" ); document.write( "\"1%2F81=1%2F3%5E4=3%5E%28-4%29\"
\n" ); document.write( "\"243=81%2A3=3%5E5\"
\n" ); document.write( "Substituting,
\n" ); document.write( "\"%283%5E%28-4%29%29t=%283%5E5%29%5E%28t-2%29\"
\n" ); document.write( "\"3%5E%28-4t%29=3%5E%285%28t-2%29%29\"
\n" ); document.write( "\"-4t=5t-10\"
\n" ); document.write( "\"-9t=-10\"
\n" ); document.write( "\"t=10%2F9\"
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\n" ); document.write( "b) is the correct answer.
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