document.write( "Question 768771: I have not only spent the last four days, literally, on one assignment consisting of 7 sections all having to do with natural log, e, 10 and log.
\n" ); document.write( "But anyhow, this one I have spent more than ten hours on by itself.
\n" ); document.write( "Write the expression as a logarithm of a single expression.
\n" ); document.write( "ln sqrt5 - ln25.
\n" ); document.write( "I have broke it down some, as far as I can get it: 5 ln^1/2 - ln 5 - ln 5.
\n" ); document.write( "I'm not entirely sure I understand how I got here.
\n" ); document.write( "But the answer in the book say's It's -3/2 ln 5=ln 5^-3/2
\n" ); document.write( "Were does the -3/2come from and how do I set this up \n" ); document.write( "

Algebra.Com's Answer #468492 by ramkikk66(644) $\"\"$ $\"About$

You can put this solution on YOUR website!


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document.write( "It's fairly simple if you remember the basic rules of logarithms.
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document.write( "1) Log a - log b = log (a/b) --> assume it is all to the same base e.g. ln.
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document.write( "2) log a + log b = log (a * b)
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document.write( "3) log (a^b) = b * log a\r
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document.write( "Now look at the problem.
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document.write( "=     --> from rule 1 above
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document.write( "Call this eqn (A)\r
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document.write( "Now look at what you have inside the brackets.
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document.write( " = 
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document.write( "=    -----> remember that (a^m)/(a^n) = a^(m - n)
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document.write( "= \r
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document.write( "Now going back to eqn A
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document.write( "= 
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document.write( "=   ------> from rule 3 above\r
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document.write( "Hope you got it now. Let me know if it is not clear :)\r
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