document.write( "Question 638603: Solve 3^x^+4 = 7^x^-1 \n" ); document.write( "
Algebra.Com's Answer #404636 by lwsshak3(11628)\"\" \"About 
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( "
\n" );