document.write( "Question 982472: 2^(x+3)=3^x \n" ); document.write( "
Algebra.Com's Answer #603283 by ikleyn(52817)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "You need to solve an equation \r
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\n" ); document.write( "\n" ); document.write( "\"2%5E%28x%2B3%29\" = \"3%5Ex\".\r
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\n" ); document.write( "\n" ); document.write( "Rewrite it as\r
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\n" ); document.write( "\n" ); document.write( "\"2%5E3\".\"2%5Ex\" = \"3%5Ex\",\r
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\n" ); document.write( "\n" ); document.write( "\"8\" = \"3%5Ex%2F2%5Ex\",\r
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\n" ); document.write( "\n" ); document.write( "\"%283%2F2%29%5Ex\" = \"8\". \r
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\n" ); document.write( "\n" ); document.write( "Hence, \r
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\n" ); document.write( "\n" ); document.write( "\"x\" = \"log%283%2F2%2C+8%29\".\r
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\n" ); document.write( "\n" ); document.write( "You can consider it as the final answer,  or you can rewrite it further\r
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\n" ); document.write( "\n" ); document.write( "\"x\" = \"1%2Flog%288%2C+%283%2F2%29%29\" = \"1%2F%28log%288%2C3%29+-+log%288%2C2%29%29\" = \"1%2F%28log%288%2C3%29+-+1%2F3%29\".\r
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