Natural Logarithms

Natural Logarithms

The function y=e^x has an inverse, the natural logarithmic function, y=log_ex or y=ln(x)

Get ready to notice something similar

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Write each equation in natural logarithm form

$e^x=6$  

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Write each equation in natural logarithm form

$e^x=23$  

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Evaluate Natural logs: ln e

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Evaluate Natural Logs:

$\ln\ e^5$  

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$e^{\left(x+1\right)}=30$  

 Solve. Round your answer to the nearest thousandth.
 
  

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$\ln\left(2x+3\right)=8$  

Solve. Round your answer to the nearest thousandth.

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Evaluate Natural Log:

$\ln\ e^{-3}\ +\ln e^{12}$  

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$\ln\left(x-3\right)^2=4$  

Solving a Natural Logarithmic Equation

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$4e^{2x}+2=16$  

Solving an Exponential Equation