SOLUTION: How long will it take for an investment to double in value, if the annual interest rate is 10% and interest is compounded every 6 months? Leave your answer in terms of a logarithun

Question 982559: How long will it take for an investment to double in value, if the annual interest rate is 10% and interest is compounded every 6 months? Leave your answer in terms of a logarithun, if necessary.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
5% rate each compounding period.
1+0.05=1.05 rate or factor for 1 period which is 6 months.

p, initial invested
n, count of compounding periods (which is a six month time)

, doubling the investment;
find logarithm of each side...

and then YEARS
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