document.write( "Question 37294: Solve for x:
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document.write( "1) 3^x=729 I got 6
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document.write( "2) 6^x-28=-8 I got 10/3
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document.write( "3) 4ln 3x =15 I got 14.17\r
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document.write( "am I correct? \n" );
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Algebra.Com's Answer #23053 by fractalier(6550) You can put this solution on YOUR website! Okay, let's see... \n" ); document.write( "1) 3^x = 729 I got 6 ====> CORRECT \n" ); document.write( "2) 6^x - 28 = -8 I got 10/3 ====> not correct. First add 28 to both sides... \n" ); document.write( "6^x = 20 \n" ); document.write( "Now take the log of both sides and solve for x... \n" ); document.write( "ln 6^x = ln 20 \n" ); document.write( "x = ln 20 / ln 6 and \n" ); document.write( "x = 1.672 \n" ); document.write( "3) 4ln 3x =15 I got 14.17 ====> CORRECT. Here divide by four, then exponentiate and solve and we get \n" ); document.write( "ln 3x = 15/4 \n" ); document.write( "3x = e^(15/4) \n" ); document.write( "x = e^(15/4) / 3 \n" ); document.write( "x = 14.17 \n" ); document.write( " |