SOLUTION: Combine logarithm {{{ (3log(4,x^2))+((1/2)log(4,sqrt(x))) }}}

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Combine logarithm {{{ (3log(4,x^2))+((1/2)log(4,sqrt(x))) }}}      Log On


   

Question 934171: Combine logarithm
++%283log%284%2Cx%5E2%29%29%2B%28%281%2F2%29log%284%2Csqrt%28x%29%29%29++
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(3log(4,x^2))+((1/2)log(4,sqrt(x)))
----
3log4(x^2) + (1/2)log4(sqrt(x))
-----
log4(x^6) + log4(x^(1/4)
---
log4[x^6*x^(1/4)]
----
= log4(x^6+1/4)
===
= log4(x^(25/4))
---
= (25/4)log4(x)
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Cheers,
Stan H.
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