We use the formula:
A=P(1+r/100)^n
where
A=future value($2x)
P=present value($x say)
r=rate of interest
n=time period.
2x=x*(1.0225)^n
2=(1.0225)^n
Taking log on both sides;
log 2=n*log (1.0225)
n=log 2/log (1.0225)
=31 years.(Approx).
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