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Earn +20 ptsQ: Solve ln y equals xln e?
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Solve e raised to the power of negative x equals 6?
e-x = 6Take the natural log of both sides:ln(e-x) = ln(6)-x = ln(6)x = -ln(6)So x = -ln(6), which is about -1.792.
How do you Differentiate and Integrate y equals 3 to the power of x?
dy/dx = 3^x * ln(3)integral = (3^x) / ln(3)To obtain the above integral...Let y = 3^xln y = x ln 3y = e^(x ln 3)(i.e. 3^x is the same as e^(x ln 3) ).The integral will then be 3^x / ln 3 (from linear composite rule and substitution after integration).
How to solve e to the power of 3x plus 5e to the power of x equals 7?
e3x+5 x ex =7 e3x+5+x=7 4x+5=ln(7) x=(ln(7)-5)/4
What is the answer to p equals 4 - ln x?
p=4-lnx Are you trying to solve for x? If so, then lnx=4-p so x=e^(4-p) Perhaps you left out some information?
What is the natural log of of 4x equals 13?
ln(4x)=13 4x=e^13 x=(e^13)/4
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