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If you are trying to solve for x you need to isolate x. To do this here we need to get rid of the ln on the left side...how can we do this?
Only problem with division here is that ln is a defined function itself, so dividing it does no good.
so instead you would do e^-2.046 right??
Yes :) You would take e to the power of both sides get what you said on the right, and since e is the inverse of ln, they cancel and form 1.
oh ok cool :) thanks! do you think you could help me with one more?
The temp of an ingot upon being immersed in water kept at 20 degrees Celcius is 20+670e^-5t after t minutes. How long will it take for the temp to reach 25 degrees celcius?
for starters, do you know what formula i need to use?
The formula is given. 20+670e^(-5t)=desired temp.
So you need to do the same thing. Isolate t since that is what it is asking for.
so first i subtract 20 right?
so the next steps would be: ln670+lne^(-57)=ln5 and then would you move the -5t in front of the lne?
You want to take 5 and divide by 670. This will leave you with e^(-5t)=5/670 From here you can do the opposite of last time, which you got right, take the ln of both sides leaving -5t=ln(5/670)
oh ok! so i would get -0.992 as the final answer correct?
um i dont think i did the last step correctly?
I got about .980 seconds...remember time will never be negative and you can always plug your answer back in to see if it comes out right.
ok ok i see what i did wrong thanks! :)
No problem. :)