anonymous
  • anonymous
Use natural logarithms to solve the equation. Round to the nearest thousandth. 5e^2x+8=22 A. 0.515 B. 0.264 C. 0.896 D. –3.259
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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dan815
  • dan815
what are you having trouble with
campbell_st
  • campbell_st
is the question \[5e^{2x + 8} = 22\] or \[5 e^{2x} + 8 = 22\]
anonymous
  • anonymous
the second one

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campbell_st
  • campbell_st
ok... so the 1st step is subtract 8 from both sides of the equation. then divide both sides of the equation by 5 what do you get?
dan815
  • dan815
|dw:1373574672837:dw|
dan815
  • dan815
you got it from there?
dan815
  • dan815
you must use ln to cancel e
dan815
  • dan815
ln means log of base e
dan815
  • dan815
so if you have log of base e of somethinh e to power something then the power must be your simplification
jdoe0001
  • jdoe0001
$$ \large { \text{log cancellation rule}\\ \color{blue}{log_aa^x = x}\\ e^{2x} = whatever\\ ln = log_e\\ log_e(e^{2x}) = log_e(whatever)\\ 2x = log_e(whatever) } $$

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