How long will it take for a lump$-$sum investment to double in value at an interest rate of $1\mathrm{.}5\%$ per quarter, compounded continuously? $($Round the final answer to three decimal places.$)$

For the lump$-$sum investment to double in value at an interest rate of $1\mathrm{.}5\%$ per quarter compounded continuously, it will take

quarters.