document.write( "Question 1105275: Hi! I came across this problem in a CLEP practice test, and I'd never had any experience with it before. I'm not exactly sure how to look for tutorials because I don't know what this particular kind of problem is called. Here it is: If ln(√x) = 5 and ln(y3) = 3, what is ln(x2y)? Can you help me learn how to solve this? Thank you!
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Algebra.Com's Answer #720044 by rothauserc(4718) $\"\"$ $\"About$

You can put this solution on YOUR website!
ln(x^(1/2)) = 5
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\n" ); document.write( "eliminate ln on the left side of = by taking exp of both sides
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\n" ); document.write( "x^(1/2) = e^5
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\n" ); document.write( "raise both sides of = to power of two
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\n" ); document.write( "x = e^10
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\n" ); document.write( "ln(y^3) = 3
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\n" ); document.write( "take exp of both sides of =
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\n" ); document.write( "y^3 = e^3
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\n" ); document.write( "y = e
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\n" ); document.write( "do you mean ln(x^2y) or ln(x2y)? - I assume
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\n" ); document.write( "ln(x^2y) = ln( (e^10)^2 * e) = ln(e^21) = 21
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