## 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 9 months ago 9 months ago

1. dan815

what are you having trouble with

2. campbell_st

is the question $5e^{2x + 8} = 22$ or $5 e^{2x} + 8 = 22$

3. douglas12

the second one

4. 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?

5. dan815

|dw:1373574672837:dw|

6. dan815

you got it from there?

7. dan815

you must use ln to cancel e

8. dan815

ln means log of base e

9. dan815

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

10. jdoe0001

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