SOLUTION: combine 2log(base8)x - 2/3log(base8)x + 4log(base8) not sure how to combine with the fraction.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: combine 2log(base8)x - 2/3log(base8)x + 4log(base8) not sure how to combine with the fraction.      Log On


   



Question 437892: combine
2log(base8)x - 2/3log(base8)x + 4log(base8)
not sure how to combine with the fraction.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
In reply: yes, that x was not shown. See below had it been.

log_8(x^6/x^(2/3)) = log_8(x^(16/3)) |Note: x^(18/3-2/3)= x^(16/3)
become familiar with the Properties
x%5Em%2Fx%5En=x%5E%28m-n%29
%28+x%5Em+%29%28+x%5En+%29+=+x%5E%28+m+%2B+n+%29
%28a%5Ep%29%5Eq+=+a%5E%28p%2Aq%29
root%28a%2Cp%29%2Aroot%28a%2Cq%29+=+root%28a%2Cp%2Aq%29