how to find the value of \log_37

etudiante9c2

etudiante9c2

Answered question

2022-04-24

how to find the value of log37

Answer & Explanation

silviavalls1005r

silviavalls1005r

Beginner2022-04-25Added 11 answers

If you mean, "How can I calculate log37 using the change of base formula?":
I've never memorized the change of base formula, I always re-derive it as needed. The key is to remember what the expression means: log37=r means that 3r=7. Taking logarithms base b on both sides, we have
3r=7
logb(3r)=logb(7)
rlogb3=logb7
r=logb7logb3
log37=logb7logb3
So if you want to compute log37 using the natural log, you would have
log37=ln7ln3
If you want to compute them using the common logarithm (base 10), you would compute
log37=log7log3.

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