document.write( "Question 863304: Hello, and before asking i want to just say that you for your help. The question i have is i am asked to write two logarithms as sums and/or differences of logarithms and simplify. The 2 problems i am given are a) log base 3 then in parentheses (x+3/y) all raised to the 6th power. ( hope i said that correctly) and b) is ln(e^3 times x^5/y^7 times square root of z) Thank you for your help and hopefully i was able to explain that correctly. \n" ); document.write( "
Algebra.Com's Answer #520397 by ankor@dixie-net.com(22740)\"\" \"About 
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write two logarithms as sums and/or differences of logarithms and simplify.
\n" ); document.write( " The 2 problems i am given are a) log base 3 then in parentheses (x+3/y) all raised to the 6th power.
\n" ); document.write( "Assume the expression is :
\n" ); document.write( "\"log%283%2C%28%28%28x%2B3%29%2Fy%29%5E6%29%29\"
\n" ); document.write( "The log equiv of exponents, both numerator and denominator to the 6th power
\n" ); document.write( "\"6log%283%2C%28%28x%2B3%29%2Fy%29%29\" = \"6log%283%2C%28x%2B3%29%29\" - \"6log%283%2C%28y%29%29\"
\n" ); document.write( ":
\n" ); document.write( "b) is ln(e^3 times x^5/y^7 times square root of z)
\n" ); document.write( "Assume the problem is:
\n" ); document.write( "\"ln%28%28e%5E3%2Ax%5E5%29%2F%28y%5E7%2Asqrt%28z%29%29%29\" = \"ln%28e%5E3%2Ax%5E5%29\" - \"ln%28y%5E7%2Asqrt%28z%29%29\"
\n" ); document.write( "However, we know that the ln of e^3 is 3 therefore we could write it
\n" ); document.write( "the square root can be written as an exponent of 1/2
\n" ); document.write( "\"3+%2B+ln%28x%5E5%29\" - \"7ln%28y%29\"- \"1%2F2\"\"ln%28z%29\" \n" ); document.write( "
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