You can
put this solution on YOUR website! .
solve for x and simplify:
4x ln(1/4)-xln2= -6(x+1)ln(1/8)
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4x ln(1/4)-xln2= -6(x+1)ln(1/8).
Do you know that ln(1/4) = -2*ln(2), ln(1/8) = -3*ln(2) ?
Substitute it into your equation and then cancel the factor ln(2) in both side.
Then you will be on an easy track.