SOLUTION: solve for x log4 5 - log4 x = 2

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Question 469389: solve for x log4 5 - log4 x = 2
Answer by ccs2011(207) About Me  (Show Source):
You can put this solution on YOUR website!
Use log property:
log+x+-+log+y+=+log+%28x%2Fy%29
Therefore
log+5+-+log+x+=+log+%285%2Fx%29
Now
log+%285%2Fx%29+=+2
Rewrite in exponential form
The base of the log becomes base on right side with 2 as exponent
5%2Fx+=+4%5E2
5%2Fx+=+16
Multiply by x on both sides
5+=+16x
Divide by 16 on both sides
5%2F16+=+x