Suppose you want to open a bank account with continuously co…

Suppose you want to open a bank account with continuously compounding interest at a rate of 5%. Assume that you deposit some amount of money \(P\) into the account, and do not make any other deposits or withdrawals. Suppose you will only withdraw from the account once its value is DOUBLE what you originally deposited. How long would it take for that to happen? Simplify your answer, and leave it in exact form.