Which expression is equivalent to log_5(x/4)^2?

For this case we must find an expression equivalent to:

So:

We expanded by moving 2 out of the logarithm:

By definition of logarithm properties we have to:

The logarithm of a product is equal to the sum of the logarithms of each factor:

The logarithm of a division is equal to the difference of logarithms of the numerator and denominator.

Then, rewriting the expression:

We apply distributive property:

An equivalent expression is:

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .