document.write( "Question 638603: Solve 3^x^+4 = 7^x^-1 \n" ); document.write( "
Algebra.Com's Answer #404636 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Solve 3^x^+4 = 7^x^-1 \n" ); document.write( "3^x^4 = 7^x^-1 \n" ); document.write( "take log of both sides \n" ); document.write( "x^4*log3=x^-1*log7 \n" ); document.write( "x^4/x^-1=log7/log3 \n" ); document.write( "x^5=log7/log3 \n" ); document.write( "x=(log7/log3)^(1/5) \n" ); document.write( "using calculator \n" ); document.write( "x≈1.1211 \n" ); document.write( "Check: w/calculator \n" ); document.write( "3^x^4=3^(1.1211^4)≈5.67... \n" ); document.write( " 7^x^-1=7^(1.1211^-1)≈5.67.. \n" ); document.write( "left side≈right side \n" ); document.write( " |