SOLUTION: I NEED AN ANSWER BY TOMORROW MORN... log(base 4)x=2 - log(base4) (x-6) please tell me step by step.. i am so confused

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I NEED AN ANSWER BY TOMORROW MORN... log(base 4)x=2 - log(base4) (x-6) please tell me step by step.. i am so confused      Log On


   

Question 545795: I NEED AN ANSWER BY TOMORROW MORN...

log(base 4)x=2 - log(base4) (x-6)
please tell me step by step.. i am so confused
Answer by saifoo.khan(162) About Me  (Show Source):
You can put this solution on YOUR website!
Hi.
log(base4) x = 2log(base4) 4 - log(base4) (x-6)
log(base4) x = log(base4) 4^2 - log(base4) (x-6)
x = 16/(x-6)
x(x-6) = 16
x^2-6x -16 = 0
x^2-8x+2x - 16 =0
x(x-8)+2(x-8) = 0
(x-8)(x+2) = 0
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Cheers! =D
Saifoo.khan
einstein.saifoo@gmail.com