Solve Log Equation: Find Value of x

[kukki1990]

Homework Statement

Find the value of x

Homework Equations

log x - 1/2log(x-1/2) = log(x+1/2) - 1/2log(x+1/8)

The Attempt at a Solution

used the log a + log b = log a*b & log a - log b = loga/b

and got a cubic equation 4x^3-8x^2-4x-1 = 0

but the answer in the book is x=1

 

[rock.freak667]

Could you please show your steps on how you've obtained that polynomial?

 

[gabbagabbahey]

You should be getting a quadratic ($3x^2-2x-1=0$) which will give you the correct answer. However, I can't tell you where you are going wrong until you show me your workings...