document.write( "Question 998758: How do I solve logarithms with square roots?
\n" );
document.write( "For example the value of logarithms with base √2 and number 8√2 equals to 7. But how to you get the final answer without a calculator? \n" );
document.write( "
Algebra.Com's Answer #616503 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! the value of logarithms with base √2 and number 8√2 equals to 7 \n" ); document.write( "----- \n" ); document.write( "log(sqrt(2))of 8sqrt(2) = 7 \n" ); document.write( "---- \n" ); document.write( "Write that as an exponential equation:: \n" ); document.write( "base = sqrt(2) \n" ); document.write( "log = exponent = 7 \n" ); document.write( "result = 8sqrt(2) \n" ); document.write( "--------- \n" ); document.write( "Exp. Eq:: (sqrt(2))^7 = 8sqrt(2) \n" ); document.write( "------ \n" ); document.write( "(2^(1/2))^7 = 2^3*2^(1/2) \n" ); document.write( "----------- \n" ); document.write( "2^(7/2) = 2^(3 1/2) \n" ); document.write( "----------- \n" ); document.write( "2^(7/2) = 2^(7/2) \n" ); document.write( "----------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------------- \n" ); document.write( " |