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### High School Mathematics3.7 Finding Number of Digits

 If the characteristic of the logarithm is n, the number will have 'n+1' digits. Example: log10 2 = 0.3010, find the number of digits in 1620. Solution: Let x = 1620 Take logarithm on both sides, log x = log 1620 = 20 log 16 = 20 log 24 = 20 * 4 log 2 = 80 * 0.3010 = 24.08 The characteristic is 24, So the number of digits in 1620 is 24 + 1 = 25. Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: log10 2 = 0.3010, find the number of digits in 825.24252322 Q 2: log10 2 = 0.3010, find the number of digits in 215.91175 Q 3: log10 7 = 0.8451, find the number of digits in 4920.33323534 Q 4: log10 3 = 0.4771, find the number of digits in 8115.27293028 Q 5: log10 3 = 0.4771, find the number of digits in 915.20153025 Q 6: log10 5 = 0.69897, find the number of digits in 1257.16131514 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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