9514 1404 393
Answer:
x ≈ -152.5662
Step-by-step explanation:
Take logarithms to get ...
(2x +5)log(3) = (x -6)log(8)
Divide by log(3) and define log(8)/log(3) = k.
2x +5 = k(x -6)
2x -kx = -5 -6k
x = (-5 -6k)/(2 -k) = 6 -17/(2 -k)
Filling in the expression for k, this is ...
x = 6 -17/(2 -log(8)/log(3)) ≈ -152.5662
