document.write( "Question 1204935: 7+ln(8x)=22−2lnx write without logarithms
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Algebra.Com's Answer #841477 by ikleyn(52915) $\"\"$ $\"About$

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document.write( "We start from this equation\r\n" );
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document.write( "    7+ln(8x)=22−2*ln(x) \r\n" );
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document.write( "We simplify it\r\n" );
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document.write( "    ln(8x) + 2*ln(x) = 22 - 7\r\n" );
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document.write( "    ln(8x) + 2*ln(x) =   15\r\n" );
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document.write( "Using properties of logarithms, we simplify it further    \r\n" );
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document.write( "    (8x) * x^2 = .\r\n" );
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document.write( "    8x^3 = .\r\n" );
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document.write( "It is how I transform the given equation to get an equivalent equation \"without logarithms\".\r\n" );
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document.write( "It can be simplified further by taking the cubic root from both sides, \r\n" );
document.write( "but these further transformations do just relate to Algebra, not to logarithms.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Since you do not ask to solve the original equation, I stop at this point.\r
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document.write( "By the way, the primarily translation form \"without logarithms\" is\r\n" );
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document.write( "     = .\r\n" );
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