document.write( "Question 711460: I need help on this problem.\r
\n" ); document.write( "\n" ); document.write( "3^(x+4) = 6^(2x+5)
\n" ); document.write( "solve for x by taking the log of both sides.\r
\n" ); document.write( "\n" ); document.write( "I tried (x+4)log3=(2x+5)log6 but I don't know what to do from here
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Algebra.Com's Answer #437429 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
3^(x+4) = 6^(2x+5)
\n" ); document.write( "solve for x by taking the log of both sides.
\n" ); document.write( "(x+4)log(3)=(2x+5)log(6)
\n" ); document.write( "(x+4)/(2x+5)=(log(6)/log(3)
\n" ); document.write( "use the log key of a calculator from this point
\n" ); document.write( "(x+4)/(2x+5)≈1.6309
\n" ); document.write( "x+4=3.2619x+8.1545
\n" ); document.write( "2.2619x=-4.1545
\n" ); document.write( "x=-4.1545/2.2619
\n" ); document.write( "x≈-1.8367
\n" ); document.write( "check: w/calculator
\n" ); document.write( "3^(x+4)=3^(-1.8367+4)≈10.77..
\n" ); document.write( "6^(2x+5)=6^(2*-1.8367+5)≈10.77..
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