Moore's law states that the maximum number of transistors that can fit on a silicon chip doubles every two years. the function f(x)= 42(1.41) to the x power model the number of transistors, in millions, that can fit on a chip, where x is the number of years since 2000. using this model, in what year can a chip hold 1 billion transistors?

This is the equation of compound interest where x is the number of years:
A=initial value x (1+ interest in %)^x
in our case: 1,000,000,000= 42 x (1+.41)^x
You solve x either with a calculator or with logarithm & you will find 49.44 years or almost 50 years. So it will reach the billion in 2050
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