douglas12
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



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dan815
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what are you having trouble with

campbell_st
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is the question
\[5e^{2x + 8} = 22\]
or
\[5 e^{2x} + 8 = 22\]

douglas12
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the second one

campbell_st
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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
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dw:1373574672837:dw

dan815
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you got it from there?

dan815
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you must use ln to cancel e

dan815
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ln means log of base e

dan815
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so if you have log of base e of somethinh e to power something then the power must be your simplification

jdoe0001
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$$
\large {
\text{log cancellation rule}\\
\color{blue}{log_aa^x = x}\\
e^{2x} = whatever\\
ln = log_e\\
log_e(e^{2x}) = log_e(whatever)\\
2x = log_e(whatever)
}
$$