document.write( "Question 1202791: Find x if 5^(2x+1) +5^(2x)= 3750 \n" ); document.write( "

Algebra.Com's Answer #837898 by ikleyn(52747) $\"\"$ $\"About$

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\n" ); document.write( "Find x if 5^(2x+1) +5^(2x)= 3750
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document.write( "Your original equation \r\n" );
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document.write( "     = 3750\r\n" );
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document.write( "can be EQUIVALENTLY re-written in the form\r\n" );
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document.write( "     = 3750,\r\n" );
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document.write( "or\r\n" );
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document.write( "     = 3750.\r\n" );
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document.write( "It implies\r\n" );
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document.write( "      =  = 625.\r\n" );
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document.write( "So, we have \r\n" );
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document.write( "     = 625 = .\r\n" );
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document.write( "Hence,\r\n" );
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document.write( "     2x = 4,   x = 4/2 = 2.\r\n" );
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document.write( "ANSWER.  x = 2.\r\n" );
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