document.write( "Question 438096: I am trying to do logarithmic equations and is having a difficult time finding a solution. Please help.
\n" ); document.write( "The problems are:
\n" ); document.write( "Problem #1: log(base3)x = 2 log(base3)3 + log (base3)5
\n" ); document.write( "Problem #2: log(base5)(x^2-9) = 4
\n" ); document.write( "

Algebra.Com's Answer #303023 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Problem #1: log(base3)x = 2 log(base3)3 + log (base3)5
\n" ); document.write( "Problem #2: log(base5)(x^2-9) = 4
\n" ); document.write( "..
\n" ); document.write( "Problem #1
\n" ); document.write( "log(base3)x = 2 log(base3)3 + log (base3)5
\n" ); document.write( "log of its base=1
\n" ); document.write( "log3(3)=1
\n" ); document.write( "log3(x)=2(1)+log3(5)
\n" ); document.write( "log3(x)-log3(5)=2
\n" ); document.write( "log3(x/5)=2
\n" ); document.write( "convert to exponential form (base raised to log of number=number)
\n" ); document.write( "3^2=x/5
\n" ); document.write( "9=x/5
\n" ); document.write( "x=45
\n" ); document.write( "..
\n" ); document.write( "Problem#2
\n" ); document.write( "log5(x^2-9) = 4
\n" ); document.write( "convert to exponential form
\n" ); document.write( "5^4=x^2-9
\n" ); document.write( "625=x^2-9
\n" ); document.write( "x^2=625-9=616
\n" ); document.write( "x=+-sqrt(616)=+-24.82
\n" ); document.write( "
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