Assume that x, y, and c are positive numbers.Use the properties of logarithms to write the expression in terms of the logarithms of x and y.

Question

Assume that x, y, and c are positive numbers.Use the properties of logarithms to write the expression  in terms of the logarithms of x and y. ​

Quizplus · Accepted Answer

We can use the property that log base a of (b*c) is equal to log base a of b plus log base a of c. Therefore, we can rewrite the given expression as 11*e^(ln(x)+ln(y)+ln(c)). Then using the property that e^ln(a) is equal to a, we get 11*x*y*c*e^1. Finally, we can write this in terms of the logarithms of x and y as 11*e^1 + ln(x) + ln(y), which is the same as option B.

Assume That X, Y, and C Are Positive Numbers