I need help from anyone who understands exponential growth functions! Pretty please :))

Question

anonymous · Answer

whats your question?

anonymous · Answer

tag me when your done posting it

anonymous · Answer

I need to solve for "t" I don't want to put the actual question, but here's an example. $$200=5000(1+.015)^(12t)$$

anonymous · Answer

t = 0.00328407

anonymous · Answer

can you give me a medal for helping please @brianakf

anonymous · Answer

I want you to show me how you got that

anonymous · Answer

I don't know how to do it

anonymous · Answer

alright but is this a test ?

anonymous · Answer

$$200=5000(1+.015)^{12t}$$ seems odd

anonymous · Answer

no, homework

anonymous · Answer

what was the actual question?

anonymous · Answer

first off $1+.015=1.015$ so this is 
$$200=5000(1.015)^{12t}$$ but it still seems strange

anonymous · Answer

200 is A (amount), 5000 P (principle) 1.5% r (rate). T (time)

anonymous · Answer

Its the same, but I changed the numbers. The teacher has something that checks online to make sure we don't use these websites

anonymous · Answer

how can you invest $5000 and earn interest and end up with only $200

anonymous · Answer

No, its a decay. You owe 5000, you want to know how long until you only owe 200

anonymous · Answer

then this is  not the formula to use
you need to know the payoff formula
but if you are supposed to solve $$200=5000(1.015)^{12t}$$ you can do it in two steps

anonymous · Answer

I'm supposed to use that formula

anonymous · Answer

sorry i lost connection but i guess ^ can help you

anonymous · Answer

@shinebrightlikeadimon if he can't ill tag you so you can!

anonymous · Answer

divide by $5000$ and get 
$$(1.015)^{12t}=.04$$ then use the change of base formula and get 
$$12t=\frac{\ln(.04)}{\ln(1.015)}$$

anonymous · Answer

making 
$$t=\frac{\ln(.04)}{12\ln(1.015)}$$

anonymous · Answer

but this just solves the equation you wrote, not at all the question that was asked

anonymous · Answer

How would I get an actual number for t though, is that even possible?

anonymous · Answer

ok

anonymous · Answer

I just solved it thanks!

anonymous · Answer

wait was my answer correct

anonymous · Answer

no it was around -18

anonymous · Answer

The answer is supposed to be negative

anonymous · Answer

sorry i did my best

anonymous · Answer

it's ok, how do you give medals?

anonymous · Answer

you click on best response and the person gets the medal