document.write( "Question 680759: log 4 base 8 \n" ); document.write( "
Algebra.Com's Answer #422469 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"log%288%2C4%29\"\"%22%22=%22%22\"\"x\"\r\n" );
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document.write( "By the definition of logarithms, that is equivalent to \r\n" );
document.write( "the exponential equation:\r\n" );
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document.write( " 4 = 8x\r\n" );
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document.write( "Since 4 = 2² and 8 = 2³ we can substitute these for 4 and 8\r\n" );
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document.write( " 22 = (23)x\r\n" );
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document.write( "Multiply expomemts on the right to remove parentheses:\r\n" );
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document.write( " 22 = 23x\r\n" );
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document.write( "Since the base 2 is the same on both sides and is positive\r\n" );
document.write( "and not equal to 1, we can equate the exponents:\r\n" );
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document.write( " 2 = 3x\r\n" );
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document.write( "\"2%2F3\" = x\r\n" );
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document.write( "Answer: \"log%288%2C4%29\"\"%22%22=%22%22\"\"x\"\"%22%22=%22%22\"\"2%2F3\"\r\n" );
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document.write( "Edwin
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