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r=0.0^.x^.

^{r=0.0x0x0x0x....}

^{100r=x.0x0x0x     (1)}

^{10,000r=x0x.0x0x0x      (2)}

^{(2) - (1):  9,900r=x00}

Bob sprints down a 100 metre track as fast as he can and as he arrives at the finish, a light gate cuts a timer that has been active since Bob began his sprint. It reads 12.45 seconds. calculate Bobs average speed during the sprint.

Solve the equation (2x + 3 / x - 4) - (2x - 8 / 2x + 1) = 1