The problem involves solving for the variable K in the equation 202,000 = 32,800e^(k*20). The context appears to be related to exponential functions and logarithms, possibly within a calculus framework.
Participants are actively engaging with the problem, offering guidance on the use of logarithms and clarifying notation. There is no explicit consensus reached, but some productive direction is provided regarding the manipulation of the equation.
There is mention of potential confusion regarding the notation of the exponential term, which may affect interpretation. The problem is also noted to be part of a calculus context, although the final steps do not involve calculus directly.
killersanta said:Homework Statement
Did most the problem, but know I'm stuck here: 202,000=32,800e^k*20
I need to solve for K
The Attempt at a Solution
Log 202,000 = k*20 log 32,000 e
Do you move the e out in front too? I'm not sure, anyway, I'm stuck here. Not sure what to do or even if you use logs to solve for k.
berkeman said:Remember to use "ln" and not "log" for the inverse operation of e^x
So if you isolate the e^x term, it looks more like this:
\frac{202000}{32800} = e^{k*20}
What would you now do to get rid of the exponential issue so you can deal directly with k?
BTW, I assume this is the end of a calculus problem, with the end not involving calculus.
Mark44 said:That works for me.
Be advised, though, that most people would read e^k*20
as ek * 20, and not as e20k, as I think you intended. To better show your intent, write that part as e^(20k). Then it's clear what is in the exponent.