SOLUTION: How do i solve log8/log2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How do i solve log8/log2      Log On


   



Question 1145290: How do i solve log8/log2
Found 3 solutions by ikleyn, math_helper, MathTherapy:
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

8 = 2^3.


Hence, log(8) = log(2^3) = 3*log(2).


Therefore, the ratio  log%288%29%2Flog%282%29 = %283%2Alog%282%29%29%2Flog%282%29 = 3.    ANSWER

-------------------

On logarithms and their properties,  see the lessons
    - WHAT IS the logarithm
    - Properties of the logarithm
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Logarithms".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.


Answer by math_helper(2461) About Me  (Show Source):
Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
How do i solve log8/log2
NOTHING to solve! Can be SIMPLIFIED though! 
Applying CHANGE of Base, we get: