SOLUTION: Solve the following equation giving an exact and an approximate solution. log(2)(x) - log(2)(3x-1) = 0

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve the following equation giving an exact and an approximate solution. log(2)(x) - log(2)(3x-1) = 0      Log On


   

Question 996658: Solve the following equation giving an exact and an approximate solution.
log(2)(x) - log(2)(3x-1) = 0
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
log(2)(x) - log(2)(3x-1) = 0
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log%282%2C%28x%29%29 - log%282%2C%283x-1%29%29 = 0,     ----->

log%282%2C%28x%2F%283x-1%29%29%29 = 0,                 ----->

x%2F%283x-1%29 = 1.

x = 3x - 1,

2x = 1,

x = 1%2F2.