Question

MATLAB problem. Prove that the log of a product is equal to the sum of the individual logs. ln (xy) = ln (x) + ln(y) Use the natural logarithm [base e]. Test for the following values of x and y. (1, 2) , (2,1), (e,e), (10,1000), e is the natural number, use an exact value, do not use an approximation. In the results explain your answers.

Answer 1

Answer

We have to prove that

L.H.S. = R.H.S. (proved)

The below MATLAB program tests the given values of x and y.

#values of x
x = [1, 2 , e, 10];
#values of y
y = [2, 1, e, 1000];

#calculate the LHS of the given equation
lhs = log (x.*y);
#calculate the RHS of the given equation
rhs = log(x) + log(y);

#compare LHS with RHS
lhs == rhs