<PRE><B>Question 745718</B>
Solve this exponential equation as both an exact expression and as a decimal approximation e^(3x+e)=121^(5x+6)
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e^(3x+e)=121^(5x+6)
(3x+e)*ln(e) = (5x+6)*ln(121)
3x + e = (5x+6)*ln(121) = 5x*ln(121) + 6ln(121)
3x - 5x*ln(121) = 6ln(121) - e
x*(3 - 5ln(121) = 6ln(121) - e
{{{x = (6ln(121) - e)/(3 - 5ln(121))}}} exact solution
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You can do the approximation with a calculator.
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