document.write( "Question 731192: If log2=a and log3=b, write an expression in terms of a and b that is equivalent to log 9/20. \n" ); document.write( "

Algebra.Com's Answer #447026 by fcabanski(1391) $\"\"$ $\"About$

You can put this solution on YOUR website!
log (x/y) = log(x) - log(y)

\n" ); document.write( "log(x*y) = log(x)+log(y)

\n" ); document.write( "log(x^y) = y*log(x)

\n" ); document.write( "log(10) = 1. Log is log base 10. And log base n of n = 1.

\n" ); document.write( "Use those log properties to solve this problem.

\n" ); document.write( "log(9/20) = log(9) - log(20) = log(3^2) - log(2*10) = 2*log(3) - (log(2) +log(10)) = 2b - (a+1) = 2b-a-1
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