Question 416486
A millionaire has a least $1,000,000.00 and this is 100,000,000 pennies.
If you receive one penny on the first day then two on the next, four on the next, etc, doubling every day, the total number of pennies (T) acquired after n days can be expressed by:
{{{T = 2^n - 1}}} Substitute T = 100,000,000
{{{100000000 = 2^n - 1}}} Solve for n. Add 1 to both sides.
{{{2^n = 100000001}}} Take the logarithm of both sides.
{{{Log(2^n) = Log(100000001)}}} Apply the power rule to the left side.
{{{nLog(2) = Log(100000001)}}} Divide both sides by {{{Log(2)}}}.
{{{n = Log(100000001)/Log(2)}}} Evaluate using your calculator.
{{{n = 26.5754}}}days. 
So you would become a millionaire in 27 days!