Question 991937
answer is d (4.02).


here's why:


ln(5x^2) - ln(x) = 3


since ln(a) - ln(b) = ln(a/b), you get:


ln(5x^2) - ln(x) = 3 becomes:


ln(5x^2/x) = 3


simplify to get:


ln(5x) = 3


this is true if and only if e^3 = 5x


solve for x to get:


x = e^3 / 5


evaluate to get:


x = 4.017107385 which rounds to 4.02.


confirm your solution is correct by replacing x with 4.017107385 in your original equation and you will see that the equation is true.