SOLUTION: 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

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 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      Log On


   



Question 764584: 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

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
5e^2x+8=22
----
5e^(2x+8) = 22
e^(2x+8) = 4.4
Take the natural log to get:
2x+8 = ln(4.4)
2x+8 = 2.5184
2x = -6.5184
x = -3.2592
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Cheers,
Stan H.
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A. 0.515
B. 0.264
C. 0.896
D. –3.259