SOLUTION: Suppose you deposit $2000 in a savings account that pays interest at an annual rate of 4%. If no money is added or withdrawn from the account, how many years will it take for the a

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Question 835785: Suppose you deposit $2000 in a savings account that pays interest at an annual rate of 4%. If no money is added or withdrawn from the account, how many years will it take for the account to contain $2500?
A(t)=a(1+r)^t
2500=2000(1+.04)^x
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
You took the right step, but no reason to change the time variable. Simplify the equation you made, and then isolate the b%5Ex term on one side.

Do you know what to do with K=b%5Ex if you know b, and you know K, but you want to find the value for x?

Like this:
log%28%28K%29%29=log%28%28b%5Ex%29%29
log%28%28K%29%29=x%2Alog%28%28b%29%29
%28log%28%28K%29%29%29%2F%28log%28%28b%29%29%29=x