Learn how to solve definite integrals problems step by step online. Solve the logarithmic equation ln(x^2-6x)=ln(-8). For two logarithms of the same base to be equal, their arguments must be equal. In other words, if \ln(a)=\ln(b) then a must equal b. Move everything to the left hand side of the equation. Factor the trinomial x^2-6x+8 finding two numbers that multiply to form 8 and added form -6. Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values.

Solve the logarithmic equation ln(x^2-6x)=ln(-8)