Final answer:
The equation log(-2) + log(-4) = log15 has no solution.
Step-by-step explanation:
To solve the equation log(-2) + log(-4) = log15, we can use the property of logarithms that states the logarithm of the product is equal to the sum of the logarithms of the factors. Therefore, we can rewrite the equation as log((-2) * (-4)) = log15. Since the product of -2 and -4 is 8, the equation becomes log8 = log15. To solve for a logarithmic equation with the same base on both sides, we set the arguments equal to each other, giving us 8 = 15. However, this equation has no solution, which means there is no solution to the original equation.