Math Problem

[GRagland]

I can figure out how to find "t".
This is a problem where i had to find how long it would take for two specific cities to have the same population. The equation uses natural logarithms.
t=time. so i gotta find what t is. could you show me the steps. i just got to get t on one side.

17558165e^(-.0038174159)t = 9747197e^(.036132)t


any help would be much appreciated.

 

[RaynorWolfcastle]

use ln() on both sides dude

 

[GRagland]

yeah i remeber im supposed to do that.

(ln)17558165e^(-.0038174159)t = (ln)9747197e^(.036132)t

but i cant remember the rule of what happenes when you take the natural log of a natural log.

is this it? ---> (ln)17558165e^(-.0038174159)t = 17558165(-.0038174159)t

 

[silverpig]

ln(big number e^(-bignumbert) = ln(big number e^(bignumbert)

then drop down the (-bignumbert) on each side... ln(e) = 1...

 

[GRagland]

ahhh, im not sure i understand, you mean this?

(ln)17558165e^(-.0038174159)t = (ln)9747197e^(.036132)t



17558165(-.0038174159)t = 9747197(.036132)t


im not sure what you meant by "then drop down the"

 

[GRagland]

nevermind i figured out how to do it.