SOLUTION: Find x if \log_2 x^2 + \log_{1/2} x + 3 \log_4 x = 5.

Algebra.Com
Question 1209836: Find x if \log_2 x^2 + \log_{1/2} x + 3 \log_4 x = 5.
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.
Find x if log_2 x^2 + log_{1/2} x + 3*log_4 x = 5.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

      Step by step


The domain to this equation is the set of all real positive numbers,
so we work in this domain.


     = .


     = .


     = .


Therefore, the whole given equation is equivalent to this one

     -  +  = 5.


Simplify

     = 5,

     =  = 2

     x =  = 4.


ANSWER.  x = 4.

Solved.



RELATED QUESTIONS

log (6x + 5) - log 3 = log 2 - log x (answered by rapaljer,arunpaul)
log(X+3)-log X=log... (answered by Fombitz)
2 log (1-x) = log (x+5) + log... (answered by josgarithmetic)
log(x-4)-log(x-5)=2 (answered by lwsshak3)
log(x-5)=... (answered by Alan3354)
log(x-4) = -2 +... (answered by jsmallt9,LinnW)
Log(x+2) - log(x-1) = logx -... (answered by ewatrrr)
log x + log 2 =... (answered by jim_thompson5910)
log x+ log... (answered by nerdybill)