To solve the equation, we need to combine the logarithms using the properties of logarithms.

The first step is to simplify the equation:
log(x) - 2log(x) + 5log(x) = log(x) - log(x^2) + log(x^5) = log(x^5 / x^2) = log(x^3)

So, the equation becomes:
log(x^3) = 1.5

To solve for x, we need to use the definition of logarithms:
x^3 = 10^1.5
x^3 = 31.6227766
x ≈ 3.144

Therefore, the solution to the equation is x ≈ 3.144.