Common Logarithm Cheat Sheet (customizable)

Home > Math Cheat Sheets > Common Logarithm Cheat Sheet

To build or customize your cheat sheet (table below) adjust the parameters (From, Step, Decimals) in this form and hit the Update button. You could also enter the values to evaluate directly on the table
From:	Step:	Decimals:

[See also Natural Logarithms]

[Worksheet]

[Printer friendly]

Common Logarithm (log x = log₁₀x)

log	=	0.0000
log	=	1.0000
log	=	1.2788
log	=	1.4472
log	=	1.5682
log	=	1.6628
log	=	1.7404
log	=	1.8062
log	=	1.8633
log	=	1.9138
log	=	1.9590
log	=	2.0000
log	=	2.0374
log	=	2.0719
log	=	2.1038
log	=	2.1335
log	=	2.1614
log	=	2.1875
log	=	2.2122
log	=	2.2355
log	=	2.2577
log	=	2.2788
log	=	2.2989
log	=	2.3181
log	=	2.3365

log	=	2.3541
log	=	2.3711
log	=	2.3874
log	=	2.4031
log	=	2.4183
log	=	2.4330
log	=	2.4472
log	=	2.4609
log	=	2.4742
log	=	2.4871
log	=	2.4997
log	=	2.5119
log	=	2.5237
log	=	2.5353
log	=	2.5465
log	=	2.5575
log	=	2.5682
log	=	2.5786
log	=	2.5888
log	=	2.5988
log	=	2.6085
log	=	2.6180
log	=	2.6274
log	=	2.6365
log	=	2.6454

log	=	2.6542
log	=	2.6628
log	=	2.6712
log	=	2.6794
log	=	2.6875
log	=	2.6955
log	=	2.7033
log	=	2.7110
log	=	2.7185
log	=	2.7259
log	=	2.7332
log	=	2.7404
log	=	2.7474
log	=	2.7543
log	=	2.7612
log	=	2.7679
log	=	2.7745
log	=	2.7810
log	=	2.7875
log	=	2.7938
log	=	2.8000
log	=	2.8062
log	=	2.8122
log	=	2.8182
log	=	2.8241

log	=	2.8299
log	=	2.8357
log	=	2.8414
log	=	2.8470
log	=	2.8525
log	=	2.8579
log	=	2.8633
log	=	2.8686
log	=	2.8739
log	=	2.8791
log	=	2.8842
log	=	2.8893
log	=	2.8943
log	=	2.8993
log	=	2.9042
log	=	2.9090
log	=	2.9138
log	=	2.9186
log	=	2.9232
log	=	2.9279
log	=	2.9325
log	=	2.9370
log	=	2.9415
log	=	2.9460
log	=	2.9504

Customize the style of your Cheat Sheet

Background color for header:
Font color for header:
Background color for odd rows:
Background color for even rows:
Size:	S M L

Exporting the Cheat Sheet to PDF

To export the cheat sheet as a PDF, you can follow these simple steps that leverage the browser's capabilities to save the printer-friendly version of the sheet as a PDF:

Click on the Printer friendly link (here or above the table), or on the Worksheet link if you wanted to get the Worksheet instead of the Cheat Sheet.
Press Ctrl + P (or Cmd + P on Mac) to open the print dialog
In the print dialog, choose Save as PDF as the destination.

The specific steps may vary slightly depending on the browser being used. This enables you to create a portable and accessible version of the cheat sheet that you can refer to anytime, anywhere.

What is a Common Logarithm?

A common logarithm is simply a logarithm with base 10. It's often written as "log" without any base specified. So, when you see "log x", it means "log base 10 of x" or "log₁₀x".

Breaking it Down

Logarithm Definition:
- A logarithm answers the question: "To what power must we raise a certain number (called the base) to get another number?"
- For example, for base 10, the question is: "To what power must we raise 10 to get this number?"
Common Logarithm:
- The common logarithm uses 10 as the base.
- Example: log₁₀100 = 2 because 10² = 100.

Why is it Useful?

Simplifying Calculations: Logarithms turn multiplication into addition, which simplifies many calculations.
Scientific Notation: Logarithms are useful for dealing with very large or very small numbers, like those in scientific notation.
Solving Equations: They help solve equations where the variable is an exponent.

Intuition

Think of common logarithms as a way of measuring how many times you multiply 10 to get a number.

For big numbers: log₁₀10000 = 4, because you multiply 10 four times (10 * 10 * 10 * 10 = 10000).
For small numbers: log₁₀0.001 = -3, because you divide 10 three times (10^-3 = 0.001).