14e^9x-42 +5=500

Question

14e^9x-42 +5=500

linda · Answer

solve for x

anonymous · Answer

Is the 9x the exponent on e or is it the quantity of (9x-42)?

linda · Answer

9x-42 is the whole exponent on the e

anonymous · Answer

Ok. Kind of like the last problem. Subtract the 5 so you get 14e^(9x-42)=495.

anonymous · Answer

Divide both sides by 14 to get e^(9x-42)=495/14

linda · Answer

yeah i did that, and then i divided 14 by 495 so i ended up with e^9x-42=35.357

linda · Answer

oh ok great so that was right, im stuck after that

anonymous · Answer

Ok. Now we go back to the ln and e functions. Like I said before they are inverses of each other so they cancel each other out. e^(ln1)=1 and ln(e)=1. We need to use these properties again here.

linda · Answer

ok, so do i change e to ln?

anonymous · Answer

What you need to do is get rid of the e so you can isolate x. To do this take ln of both sides.

linda · Answer

ohhh, so does that leave me with just 9x-42 on one side?

anonymous · Answer

Yes and then ln of whatever that number is on the other.

linda · Answer

ok, makes sense now. thanks!

anonymous · Answer

You're welcome. I don't know if you need exact form or approximate, but seems like you are getting it.

linda · Answer

ok, makes sense now. thanks!