SOLUTION: What is the value of log81 3? There is already an answer provided here: http://www.algebra.com/algebra/homework/logarithm/logarithm.faq.question.535764.html But I would like

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: What is the value of log81 3? There is already an answer provided here: http://www.algebra.com/algebra/homework/logarithm/logarithm.faq.question.535764.html But I would like      Log On


   

Question 959642: What is the value of log81 3?
There is already an answer provided here:
http://www.algebra.com/algebra/homework/logarithm/logarithm.faq.question.535764.html
But I would like the steps to be explained please so I can understand it, and not just get an answer. Thanks
Found 2 solutions by Fombitz, josmiceli:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Change of base formula,
log%2881%2C%283%29%29=log%28%283%29%29%2Flog%28%2881%29%29
log%2881%2C%283%29%29=log%28%283%29%29%2Flog%28%283%5E4%29%29
log%2881%2C%283%29%29=log%28%283%29%29%2F%284%2Alog%28%283%29%29%29
log%2881%2C%283%29%29=highlight%281%2F4%29

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+log%28+81%2C+3+%29+
This is asking:
" What is the exponent that I raise the base +81+ to
that will give me the answer +3+
I can restate this as:
+81%5Ex+=+3+, where
+x+=+log%28+81%2C3+%29+
----------------------
+x+=+1%2F4+ because
+root%28+4%2C+81+%29+=+3+
Raise both sides to the 4th power
+%28+root%28+4%2C81+%29+%29%5E4+=+3%5E4+
+81+=+81+
Hope this helps
A good thing to remember is:
"Logs are exponents"