Rewrite the following expression as a single logarithm 2log(x+3)-3log(x-7)+5log(x-2)-log(x^2)

Mathematics

1 answer:

mixer [17]2 years ago

5 0

The rewritten form of the expression as a single logarithm is; log {(x+3)²(x-2)^5}/(x-7)³(x²).

<h3>What is the rewritten form of the expression?</h3>

The expression given in the task content can be rewritten as a single logarithm by virtue of the laws of logarithms as follows;

2log(x+3)-3log(x-7)+5log(x-2)-log(x^2)

= log(x+3)² - log(x-7)³ +log(x-2)^5-log(x^2)

= log {(x+3)²(x-2)^5}/(x-7)³(x²)

You might be interested in

What is the solution set for this inequality. <br> -8x+40>-16

Harman [31]

Answer:

x<7

Step-by-step explanation:

−8x+40>−16

Step 1: Subtract 40 from both sides.

−8x+40−40>−16−40

−8x>−56

Step 2: Divide both sides by -8.

−8x / −8 > −56 / −8

x<7

5 0

3 years ago

Which compound most likely contains polar covalent bonds?<br> NaCl<br> AlF3<br> Br2<br> NF3

belka [17]

Answer: The correct answer is $NF_3$

Explanation:

In $NF_3$ molecule, there are three bond pairs and one lone pair present in the molecule. In a molecule, lone pair present on the nitrogen atom will have a dipole moment in upward direction where as total dipole moment formed by three fluorine atoms will be more in magnitude and it will be directed in downward direction which means that the net dipole moment will be in downward direction. As shown in image attached.

Hence, covalent bond present between nitrogen and fluorine will become polar in nature.

So, the correct answer is $NF_3$ .