How to use the Change of Base Formula and a calculator to evaluate the logarithm log_2 1?

Oliver Garrett

Oliver Garrett

Answered question

2023-01-07

How to use the Change of Base Formula and a calculator to evaluate the logarithm log21?

Answer & Explanation

tappahtappahwf6

tappahtappahwf6

Beginner2023-01-08Added 11 answers

Explanation: In reality, you don't even have to change bases because:log21=0because: 20=1Anyway, we can change into natural logs and write:log21=ln1ln2=0
Anabella Gilbert

Anabella Gilbert

Beginner2023-01-09Added 1 answers

Change of base will always take the following form:
logxy=log10ylog10x
When I learned trig earlier this year, I just memorized that formula.
As for the calculator part, calculator log(x) is always equal to log10(x), so instead of worrying about your bases of ten, just plug in:
log(1)log(2)
You should get
log(1)log(2)=0

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