document.write( "Question 670373: log[10](3m-5)+log[10](m)=log[10](2)\r
\n" ); document.write( "\n" ); document.write( "How can i solve this equation ? i tried it so many times and i got 2 , is there anyone that can show their steps, just incase.
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Algebra.Com's Answer #416883 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
log[10](3m-5)+log[10](m)=log[10](2)
\n" ); document.write( "log[(3m-5)(m)]=log2
\n" ); document.write( "(3m-5)(m)=2
\n" ); document.write( "3m^2-5m-2=0
\n" ); document.write( "(3m+1)(m-2)=0
\n" ); document.write( "3m+1=0
\n" ); document.write( "m=-1/3 (reject, m>0
\n" ); document.write( "m-2=0
\n" ); document.write( "m=2
\n" ); document.write( "Check:
\n" ); document.write( "plug in 2 to the original equation
\n" ); document.write( "log[10](3m-5)+log[10](m)=log[10](2)
\n" ); document.write( "log[10](6-5)+log[10](2)=log[10](2)
\n" ); document.write( "log[10](1)+log[10](2)=log[10](2)
\n" ); document.write( "0+log[10](2)=log[10](2)
\n" ); document.write( "log[10](2)=log[10](2)
\n" ); document.write( "m=2 is the correct ans
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