Synonyms in Detail: logarithm and log Usage & Differences

What context can I use each word in?

Learn when and how to use these words with these examples!

logarithm

Example

The logarithm of 1000 with base 10 is 3. [logarithm: noun]

Example

To solve this equation, we need to take the logarithm of both sides. [logarithm: verb]

log

Example

The log of 100 with base 2 is 6. [log: noun]

Example

We need to log in to access the system. [log: verb]

Good things to know

Which word is more common?

Log is more commonly used than logarithm in everyday language, especially in informal or technical contexts. Logarithm is more commonly used in academic or scientific fields.

What’s the difference in the tone of formality between logarithm and log?

Logarithm is more formal and academic than log, which is often used in informal or shorthand contexts. However, both words can be used in formal or technical contexts depending on the situation.

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