SOLUTION: solve: -2logbase4x=logbase49 {{{-2*log( 4, x ) = log( 4, 9 )}}} 3 logbase2 x=-logbase2 27 thank you!

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: solve: -2logbase4x=logbase49 {{{-2*log( 4, x ) = log( 4, 9 )}}} 3 logbase2 x=-logbase2 27 thank you!      Log On

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Question 7037: solve:
-2logbase4x=logbase49
-2%2Alog%28+4%2C+x+%29+=+log%28+4%2C+9+%29

3 logbase2 x=-logbase2 27

thank you!
Answer by ichudov(499) About Me  (Show Source):
You can put this solution on YOUR website!
I will solve one for you, and you do the rest, okay?

-2%2Alog%28+4%2C+x+%29+=+log%28+4%2C+9+%29

log%28+4%2C+x%5E-2+%29+=+log%28+4%2C+9+%29
x%5E-2+=+9
1%2Fx%5E2+=+9
x%5E2+=+1%2F9
x=1%2F3, x=-1%2F3