document.write( "Question 833497: if log base 10 y=0.7 + 2*log base 10 x , express y in terms of x \n" ); document.write( "

Algebra.Com's Answer #502613 by hovuquocan1997(83) $\"\"$ $\"About$

You can put this solution on YOUR website!
You have a property of log like this : if the base of two log are the same, you have log(x) - Log(y) = Log (x/y)
\n" ); document.write( "By the way if the base is 10, you don't need to write the base, it's a rule in Math :)
\n" ); document.write( "So your question is:
\n" ); document.write( "log(y) = 0.7 + 2log(x)
\n" ); document.write( "You have another property you need to use here, it says $\"a%2Alog%28x%29+=+log%28x%5Ea%29\"$
\n" ); document.write( "So your equation becomes
\n" ); document.write( " $\"log%28y%29+=+0.7+%2B+log%28x%5E2%29\"$
\n" ); document.write( " $\"log%28y%29+-+log%28x%5E2%29+=+0.7\"$
\n" ); document.write( " $\"log%28y%2F%28x%5E2%29%29+=+0.7\"$
\n" ); document.write( "The base is 10, so you have
\n" ); document.write( " $\"y%2F%28x%5E2%29+=+10%5E%280.7%29\"$
\n" ); document.write( " $\"y+=+10%5E%280.7%29%2A%28x%5E2%29\"$
\n" ); document.write( "TA-DAH
\n" ); document.write( ":D \n" ); document.write( "

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