document.write( "Question 1012590: I have 3 to the sqrt of 21x. Which value of x makes the expression equivalent to 12 to the sqrt of 21? I don't remember how to work this. How does the number in front play in?? Thanks \n" ); document.write( "
Algebra.Com's Answer #628591 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! I'm thinking you mean \n" ); document.write( " \n" ); document.write( "If so, I think I would take the log of both sides and get \n" ); document.write( "sqrt(21x)*log3 = sqrt(21)*log12 \n" ); document.write( "sqrt(21x)*log3 = sqrt(21)*(log4 + log3) \n" ); document.write( "sqrt(x)*log3 = log4 + log3 \n" ); document.write( "sqrt(x) = (log4 + log3) / log3 \n" ); document.write( "so that \n" ); document.write( "x = [(log4 + log3) / log3]^2 = 5.116 \n" ); document.write( " \n" ); document.write( " |