In order to answer the question we need a picture of some kind
She done better at the 2nd test because she only got 4 wrong but on the first test she got 6 wrong.
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:

Answer:
An equivalent expression is:

Answer:
BD - AC = 0
Step-by-step explanation:
Given that:
BC = 36 , CD = 15 and BD = x
As these are forming right angled triangle,
Using Pythagorean theorem,

Taking square root on both sides

As the given shape is rectangular, the sides parallel to each other will have same values.
AB = 15 , AD = 36 and AC = x

Now,
BD - AC = 39 - 39 = 0
Hence,
BD - AC = 0
Rational numbers are closed under addition ,multiplication but not closed under division
Rational number
Closure property
assume two rational numbers say x and y. the results of addition and multiplication operations give a rational number we can say that rational number are closed under addition and multiplication . For example
rational number are not closed under division as 1 and 0 are rational number but 1/0 is not defined but it is closed under addition and multiplication
that is 1+0 = 1 closed under addition
1*0 =0 closed under multiplication
but 1/0 is not defined so it is not closed under division
Hence Rational numbers are closed under addition ,multiplication but not closed under division
learn more of closure property here
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