document.write( "Question 942813: How do you condense the expression of 4ln3+1/2lnx-ln5 \n" ); document.write( "

Algebra.Com's Answer #574781 by Theo(13342) $\"\"$ $\"About$

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4 * ln(3) + 1/2 * ln(x) - ln(5) becomes:
\n" ); document.write( "ln(3^4) + ln(x^(1/2)) - ln(5) becomes:
\n" ); document.write( "ln(81) + ln(sqrt(x)) - ln(5) becomes:
\n" ); document.write( "ln((81 * sqrt(x)) / 5)\r
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\n" ); document.write( "\n" ); document.write( "you can prove this is correct by allowing x to be any value and then evaluating the original expression and the final expression to see that they provide the same answer.\r
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\n" ); document.write( "\n" ); document.write( "for example, when x = 100:
\n" ); document.write( "4 * ln(3) + 1/2 * ln(100) - ln(5) becomes equal to 5.087596335 and:
\n" ); document.write( "ln((81 * sqrt(100)) / 5) becomes equal to the same number.\r
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\n" ); document.write( "\n" ); document.write( "this confirms the solution is valid. \n" ); document.write( "

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