document.write( "Question 1012270: Good evening Friends, I have some difficulties solving the following
\n" ); document.write( "logarithmic equation: (log2(x) - log0.5(x) -2)/(3log2(x) +2)=4
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\n" ); document.write( "Thank you very much in advance \n" ); document.write( "

Algebra.Com's Answer #628149 by ikleyn(52805) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Your equation is \r\n" );
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document.write( "First, notice that log(0.5,(x)) = -log(2,(x)). It is easy to understand if you know what the logarithm is.\r\n" );
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document.write( "Second, introduce a new variable y = log(2,(x)) for brevity.\r\n" );
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document.write( "Then your equation will take the form\r\n" );
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document.write( " = ,   or   = .\r\n" );
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document.write( "I am sure you can easily solve it.\r\n" );
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document.write( "The solution is y = -1.\r\n" );
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document.write( "Then you need to solve the equation \r\n" );
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document.write( " = -1,\r\n" );
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document.write( "which will give you the answer x = .\r\n" );
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document.write( "Answer. x = .\r\n" );
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\n" ); document.write( "Introducing new variable is the standard way to solve equations like this one.\r
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