document.write( "Question 1205441: How do you solve: log5(3x-2)^4=8
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Algebra.Com's Answer #842263 by Edwin McCravy(20064)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Ikleyn has pointed out that there is something to watch for in\r\n" );
document.write( "the \"Pulling down the exponent\" rule, as math_tutor2020 calls it.\r\n" );
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document.write( "That's when the exponent is an even integer and its base contains a \r\n" );
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document.write( "However, the \"pull down\" rule can still be used without losing an answer,\r\n" );
document.write( "without complicating the problem by switching to exponents so soon, by\r\n" );
document.write( "inserting \"%22%22+%2B-+%22%22\" in front of the base of the even number exponent \r\n" );
document.write( "when you \"pull down the exponent\".\r\n" );
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document.write( "\"log%285%2C%28%283x-2%29%5E4%29%29\"\"%22%22=%22%22\"\"8\"\r\n" );
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document.write( "\"4%2Alog%285%2C%28%22%22+%2B-+%283x-2%29%5E%22%22%29%29\"\"%22%22=%22%22\"\"8\"\r\n" );
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document.write( "\"log%285%2C%28%22%22+%2B-+%283x-2%29%5E%22%22%29%29\"\"%22%22=%22%22\"\"2\"\r\n" );
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document.write( "\"%22%22+%2B-+%283x-2%29\"\"%22%22=%22%22\"\"5%5E2\"\r\n" );
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document.write( "\"3x-2\"\"%22%22=%22%22\"\"%22%22+%2B-+25\"\r\n" );
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document.write( "3x-2 = 25    3x-2 = -25\r\n" );
document.write( "  3x = 27      3x = -23\r\n" );
document.write( "   x = 9        x = -23/3\r\n" );
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document.write( "Edwin
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