document.write( "Question 64503: I have been troubleing over this Question for awhile now tried solving it with question No. 63487 from this website but the numbers were close but not exact.\r
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document.write( "3^x=7.5^(x-2) \n" );
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Algebra.Com's Answer #45126 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 3^x = 7.5^(x-2) \n" ); document.write( ": \n" ); document.write( "Write it using the log (base 10) equiv of exponents: \n" ); document.write( "x * log(3) = (x-2)* log(7.5) \n" ); document.write( ": \n" ); document.write( "Find the logs of 3 and 7.5: \n" ); document.write( ".47712x = .87506(x-2) \n" ); document.write( ": \n" ); document.write( "Mult what's inside the brackets: \n" ); document.write( ".47712x = .87506x - 1.75012 \n" ); document.write( ": \n" ); document.write( "Subtract .87506x from both sides \n" ); document.write( ".47712x - .87506x = - 1.75012 \n" ); document.write( "-.39794x = -1.75012 \n" ); document.write( "x = -1.75012/-.39794 \n" ); document.write( "x = + 4.3979 \n" ); document.write( ": \n" ); document.write( "Check using a calc: \n" ); document.write( "3^4.3979 = 125.4 \n" ); document.write( "7.5^2.3979 = 125.4 also \n" ); document.write( ": \n" ); document.write( "Often you won't come out exactly, but if you go to 4 decimal places it will be very close. \n" ); document.write( " \n" ); document.write( " |