Solve for x:
5 log(4 x - 6) = -6
Divide both sides by 5:
log(4 x - 6) = -6/5
Cancel logarithms by taking exp of both sides:
4 x - 6 = e^(-6/5)
Add 6 to both sides:
4 x = 6 + e^(-6/5)
Divide both sides by 4:
Answer: |x = 3/2 + 1/(4 e^(6/5)) = 1.57529855.......