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
\n" ); document.write( "\n" ); document.write( "3^x=7.5^(x-2)
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Algebra.Com's Answer #45126 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
3^x = 7.5^(x-2)
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\n" ); document.write( "Write it using the log (base 10) equiv of exponents:
\n" ); document.write( "x * log(3) = (x-2)* log(7.5)
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\n" ); document.write( "Find the logs of 3 and 7.5:
\n" ); document.write( ".47712x = .87506(x-2)
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\n" ); document.write( "Mult what's inside the brackets:
\n" ); document.write( ".47712x = .87506x - 1.75012
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\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
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\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
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\n" ); document.write( "Often you won't come out exactly, but if you go to 4 decimal places it will be very close.
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