Here's the first one . . .
calculate to three decimal places.
I could do with a tiny bit of guidance on this. thanks in advance for any helpTo nine decimal places, and
i) Calculate and to three decimal places. By taking logs, or otherwise, show that
Hence write down the first digit of
ii) Find the first digit of each of the following numbers: , and
[OCR STEP I 2000, Question 1]
Can it be shown that , where obviously a and x aren't known yet!
Note that . So clearly x = 301.
So can you find an a such that . In other words, can you find an a such that
Again, you'd use the known values of log from earlier. Warning: spoiler below.
Answer: a = 1 so the first digit is 1.