document.write( "Question 20603: Please help me with this problem:\r
\n" ); document.write( "\n" ); document.write( "logb^2 = .25596, logb^3 = .40568, logb^5 = .59432\r
\n" ); document.write( "\n" ); document.write( "logb^(5/12)^3\r
\n" ); document.write( "\n" ); document.write( "I know the answer is .096984, but don't know how to go about it.\r
\n" ); document.write( "\n" ); document.write( "Thanks,
\n" ); document.write( "Sandy
\n" ); document.write( "

Algebra.Com's Answer #9920 by venugopalramana(3286)\"\" \"About 
You can put this solution on YOUR website!
logb^2 = .25596, logb^3 = .40568, logb^5 = .59432
\n" ); document.write( "this is not properly written..i think by the above you meant log 2 to base b =0.25596..etc....then the above has some meaning..otherwise they are not correct and represent contradictory things
\n" ); document.write( "logb^(5/12)^3=?...as given above this should mean that we want log (5/12)^3 to base b.
\n" ); document.write( "use the following formulae in logs which are true for any base..here wew can take b as base
\n" ); document.write( "log x*y=log x+log y
\n" ); document.write( "log x/y=log x-log y
\n" ); document.write( "log x^n=n*log x
\n" ); document.write( "log x to base b=log x /log b
\n" ); document.write( "LET US TAKE ALL LOGS TO BASE b AS WE HAVE THEM TO BASE b IN THE PROBLEM.
\n" ); document.write( "log(5/12)^3=3*log(5/12)
\n" ); document.write( "=3*(log 5-log 12)=3*(log 5-log 2*2*3)
\n" ); document.write( "=3*(log 5-log 2-log 2-log 3)=3*(0.59432-0.25596-0.25596-0.40568)
\n" ); document.write( "3*(-0.3238)=-0.96984
\n" ); document.write( "YOU GAVE THE ANSWER AS 0.096984...IN WHICH CASE THE QUESTION SHOULD BE log(5/12)^(-0.3) to base b =????.PLEASE CHECK BACK THE QUESTION WRITE IT DOWN PROPERLY AS AS GIVEN IN THE TEXT AND COME BACK
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