To solve the equation 2x^2 - 6log(2x) = -8, we need to use properties of logarithms to simplify the equation.
First, we can use the property that log(a) - log(b) = log(a/b) to rewrite the equation aslog((2x^2)/(2x^6)) = -8
Next, simplify the equation further by dividing out the common factor in the logarithmlog(x) = -8
Now, we can rewrite the equation in exponential form to solve for x10^(-8) = x
Therefore, the solution to the equation 2x^2 - 6log(2x) = -8 is x = 10^(-8).
To solve the equation 2x^2 - 6log(2x) = -8, we need to use properties of logarithms to simplify the equation.
First, we can use the property that log(a) - log(b) = log(a/b) to rewrite the equation as
log((2x^2)/(2x^6)) = -8
Next, simplify the equation further by dividing out the common factor in the logarithm
log(x) = -8
Now, we can rewrite the equation in exponential form to solve for x
10^(-8) = x
Therefore, the solution to the equation 2x^2 - 6log(2x) = -8 is x = 10^(-8).