Number of digits using Log

Rarely Tested

Number of digits formula: $$⌊log₁₀(N)⌋ + 1$$

Question 1

If $$\log_{10}{2} = 0.3010$$, find the number of digits in $$5^{100}$$

Question 2

If $$\log_{10}{2}$$ = 0.3010, how many digits does $$2^{200}$$ have?

Question 3

The two numbers $$4^{30}$$ and $$25^{30}$$ are written next to each other. What is the total number of digits written down?

Question 4

How many digits are there in $$561^{20}$$ if log 3 = 0.4771, log 7 = 0.845, log 11 = 1.0414 and log 17 = 1.2305?

Name	Date Taken	Score
Formula Test 1	NA	NA
Formula Test 2	NA	NA
Formula Test 3	NA	NA
Formula Test 4	NA	NA
Formula Test 5	NA	NA
Formula Test 6	NA	NA
Formula Test 7	NA	NA
Formula Test 8	NA	NA

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