document.write( "Question 133348: Solve for x: 3^x+2 plus 3^x = 270\r
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Algebra.Com's Answer #97534 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"3%5E%28x%2B2%29%2B3%5Ex+=+270+\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"3%5E%28x%29%2A3%5E%282%29%2B3%5Ex+=+270+\" Break up \"3%5E%28x%2B2%29\" using the identity \"x%5E%28y%2Bz%29=x%5Ey%2Ax%5Ez\"\r
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\n" ); document.write( "\n" ); document.write( "\"3%5E%28x%29%283%5E%282%29%2B1%29+=+270+\" Factor out the GCF\r
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\n" ); document.write( "\n" ); document.write( "\"3%5E%28x%29%289%2B1%29+=+270+\" Evaluate \"3%5E2\" to get 9\r
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\n" ); document.write( "\n" ); document.write( "\"3%5E%28x%29%2810%29+=+270+\" Add\r
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\n" ); document.write( "\n" ); document.write( "\"3%5E%28x%29+=+27+\" Divide both sides by 10\r
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\n" ); document.write( "\n" ); document.write( "\"3%5E%28x%29+=+3%5E3\" Rewrite 27 as \"3%5E3\"\r
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\n" ); document.write( "\n" ); document.write( "Since the bases are equal, this means that the exponents are equal. \r
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\n" ); document.write( "\n" ); document.write( "So \"x=3\"\r
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