SOLUTION: Can someone help me with this? log8 6=R, log8 11=S, log8 9=T. Find log8 8/891? (log8: 8 should be typed small) Thank you.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Can someone help me with this? log8 6=R, log8 11=S, log8 9=T. Find log8 8/891? (log8: 8 should be typed small) Thank you.       Log On


   

Question 1144035: Can someone help me with this?
log8 6=R, log8 11=S, log8 9=T. Find log8 8/891?
(log8: 8 should be typed small)
Thank you.
Answer by ikleyn(52908) About Me  (Show Source):
You can put this solution on YOUR website!
.

8%2F891 = 8%2F%2811%2A81%29 = 8%2F%289%5E2%2A11%29.


Therefore,


log%288%2C%288%2F891%29%29 = log%288%2C%288%2F%289%5E2%2A11%29%29%29 = use the logarithm properties = log%288%2C%288%29%29 - 2%2Alog%288%2C%289%29%29 - log%288%2C%2811%29%29 = 1 - 2T - S.    ANSWER

Answered,  explained,  solved and completed.

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On logarithms and their properties,  see the lessons
    - WHAT IS the logarithm
    - Properties of the logarithm
    - Change of Base Formula for logarithms
    - Evaluate logarithms without using a calculator (*)
    - Proving equalities with logarithms
in this site.

Especially,  look into the lesson  (*)  and find there very similar solved problems.

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.