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Significant Figure Rules for Logarithms. Things to remember: significant figures include all certain digits and the first uncertain digit. There is always some uncertainty in the last digit. Regular sig fig rules are guidelines, and they don’t always predict the correct number of significant figures.
The rules for tracking significant figures in logarithm calculations (such as ln or log) are simple, but how you count the digits is a little different.
Significant figures when using logs: The General Rule: The number of significant figures in the mantissa of a value expressed in scientific notation equals the number of significant figures to the right of the decimal in the logged value. To see why this is, let's look at an example.
Rules for Significant Figures in Logarithms and pH. Logarithm. When you take the logarithm of a number, keep as many significant figures to the right of the decimal point as there are significant figures in the original number. For example, log 4.000 (4 s.f.) = 0.6021 (4 s.f. to right of the decimal point).
What are Sig Figs? Significant figures relay the number of digits reliably known in a number. Measured quantities are typically reported such that only the last significant digit is uncertain. There are a few important rules for determining which digits in a given number are significant: Non-zero numbers are ALWAYS significant.
Significant figure Rules for Logarithms. = logB The correct total number of significant figures reported in A after the decimal place is equal to the total number of significant figures in the B.
There are three rules on determining how many significant figures are in a number: Non-zero digits are always significant. Any zeros between two significant digits are significant. A final zero or trailing zeros in the decimal portion ONLY are significant. Focus on these rules and learn them well.
