Which expression is equivalent to (5 x 6)x(3 x 2)? es
A)
(5 + 6) + (3 + 2)
B)
(5 + 6) (3 + 2)
(5 x 6) + (3 x 2)
D)
(3 x 2)x(5 x 6)

(D) (3x2) x (5x6)

Step-by-step explanation: You can switch them around and it will still have the same answer.

(5 x 6)x(3 x 2) is equal to 180

To find the answer, you have to solve them to see if they are equal to 180.

A) (5 + 6) + (3 + 2)    NO

simply cannot work because it's an addition of small numbers. This expression equals 16. Not equivalent.

B) (5 + 6) (3 + 2) (5 x 6) + (3 x 2)  NO

B doesn't make sense as it includes both the expressions together, including the initial expression which we are trying to find an equivalent answer, hence, it is going to equal more than the  x > 180.  Solving for x is unnecessary as we know it is more.  

No C?

D) (3 x 2)x(5 x 6)  YES

This one works as the same numbers as the initial expression are equivalent and the expression uses the same math signs. This displays the commutative property of multiplication

Conclusion:

the Answer is D)

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)

answer

step-by-step explanation: