How to evaluate log_6(216)?

Tianna Mayer

Tianna Mayer

Answered question

2022-12-29

How to evaluate log6(216)?

Answer & Explanation

scernenefmet

scernenefmet

Beginner2022-12-30Added 7 answers

If log6(216)=x, we can say that x=log6(63)=3log6(6)=3.
Basically, if you have a logarithm loga(b), you can ask yourself, ""a to WHAT power gives me b?""
In this situation, 6 to the 3rd power will give you 216, so the answer is 3.
You can enter a logarithm in the form if the result won't always be a simple integer or fraction loga(b) in your calculator simply as logbloga in your calculator. You can put log216log6 into your calculator and it will spit out an answer of 3.

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