Calculate the exact logarithm and a four-figure table-style approximation with complete steps.
Four-Figure Log Table Answer
Equivalent Decimal Form
Answer obtained using the four-figure logarithm table method.
Step-by-Step Table Method
1
Write in Scientific Form
2
Find the Characteristic
3
Find the Basic Mantissa
4
Add the Mean Difference
5
Combine Characteristic and Mantissa
Method note: The exact result uses direct mathematical calculation. The four-figure result follows a table-style row, column and mean-difference method generated mathematically. A particular printed table may differ by one final unit because of its rounding rules.
New work
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Common Logarithm Calculator
Calculate a logarithm with characteristic, mantissa and complete steps.
log
Try an example:
Final Answer
Step-by-Step Solution
1
Write in Scientific Form
2
Find the Characteristic
3
Find the Mantissa
The mantissa is the logarithm of the number written between 1 and 10.
4
Combine Characteristic and Mantissa
Note:
This calculator finds common logarithms with base 10. Only positive numbers can have a real logarithm.