document.write( "Question 83637: I have two similiar problems to solve. If I can get help with how to solve one of them, I'm sure I can work the other.
\n" ); document.write( "e^(x-8) = 33
\n" ); document.write( "3^(4x-3) = 3\r
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Algebra.Com's Answer #60163 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
e^(x-8) = 33
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\n" ); document.write( "Using nat logs:
\n" ); document.write( "ln(e^(x-8)) = ln(33)
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\n" ); document.write( "Log equiv of exponents:
\n" ); document.write( "(x-8)*ln(e) = ln(33)
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\n" ); document.write( "Find the ln of both sides. Nat ln of e = 1, remember
\n" ); document.write( "x - 8 = 3.4965
\n" ); document.write( "x = 3.4965 + 8
\n" ); document.write( "x = 11.4965
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\n" ); document.write( "Check solution on a good calc: enter: e^(11.4965-8); should get 32.99975
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\n" ); document.write( "3^(4x-3) = 3
\n" ); document.write( "Just looking at it you know that 4x-3 = 1, but here is the method anyway
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\n" ); document.write( "Using nat logs again
\n" ); document.write( "ln(3^(4x-3) = ln(3)
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\n" ); document.write( "(4x-3)*ln (3) = ln(3)
\n" ); document.write( "(4x-3)*1.0986 = 1.0986
\n" ); document.write( "4x - 3 = 1.0986/1.0986
\n" ); document.write( "4x - 3 = 1
\n" ); document.write( "4x = 1 + 3
\n" ); document.write( "4x = 4
\n" ); document.write( "x = 4/4
\n" ); document.write( "x = 1
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\n" ); document.write( "Did this help? \n" ); document.write( "
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