154k views
3 votes
Please help me on this please

Please help me on this please-example-1
User Synergetic
by
8.4k points

1 Answer

6 votes

Answer:

㏒3(14) = 2.402 ⇒ 3rd answer

Explanation:

* Lets revise some rules of the logarithmic functions

- log(a^n) = n log(a)

- log(a) + log(b) = log(ab) ⇒ vice versa

- log(a) - log(b) = log(a/b) ⇒ vice versa

* Lets solve the problem

- We have the value of ㏒3(2) and ㏒3(7)

- We must change the problem to these logarithm to solve

∵ 14 = 2 × 7

∴ We can write ㏒3(14) as ㏒3(2 × 7)

∴ ㏒3(14) = ㏒3(2 × 7)

* Now lets use the rules above

∵ log(ab) = log(a) + log(b)

∴ ㏒3(2 × 7) = ㏒3(2) + ㏒3(7)

∵ ㏒3(2) = 0.631 and ㏒3(7) = 1.771

∴ ㏒3(2 × 7) = 0.631 + 1.771 = 2.402

* ㏒3(14) = 2.402

User Drozdzynski
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories