SOLUTION: this question comes from a teacher-made worksheet Solve 2 ways: {{{log ((2-5x)/(2x+16)) =0}}} ; x = -2 I have solved it one way, but I don't know the other: {{{log ((2-5x)/(2x

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: this question comes from a teacher-made worksheet Solve 2 ways: {{{log ((2-5x)/(2x+16)) =0}}} ; x = -2 I have solved it one way, but I don't know the other: {{{log ((2-5x)/(2x      Log On


   

Question 133893: this question comes from a teacher-made worksheet
Solve 2 ways: log+%28%282-5x%29%2F%282x%2B16%29%29+=0 ; x = -2
I have solved it one way, but I don't know the other:
log+%28%282-5x%29%2F%282x%2B16%29%29+=0
log%28%282-5x%29%29+-+log%28%282x%2B16%29%29+=+0
log%28%282-5x%29%29+=+log%28%282x%2B16%29%29
2-5x+=+2x%2B16
-7x+=+14
x+=+-2
Answer by Ganesha(13) About Me  (Show Source):
You can put this solution on YOUR website!
Log([2-5x]/[2x+16]) = 0
If log a = k, then a =e^k
Hence (2-5x)/(2x+16) =e^0 =1
2-5x = 2x+16 ==>
-5x-2x = 16-2 = 14==>
-7x=14==>
x = 14/2 = -2