The Number of Periods Needed to Double an Investment When $\mathrm { n } = \log _ { 1.05 } 2$

Multiple Choice

The number of periods needed to double an investment when a lump sum is invested at 10%, compounded semiannually, is given by n $\mathrm { n } = \log _ { 1.05 } 2$ Find the number of years before the investment doubles in value, to the
Nearest tenth of a year.

A) 7.1 years
B) 28.4 years
C) 14.2 years
D) 3.6 years