Solve and type in a different form by using the given theorems of logarithms. log N^3

Mathematics

2 answers:

Kipish [7]3 years ago

8 0

<h3><u>Answer:</u></h3>

Hence, the different form of log N^3 by using the given theorems of logarithms is:

$\log N^3=3\log N$

<h3><u>Step-by-step explanation:</u></h3>

We have to represent the given logarithmic function in some other form using the property of logarithm.

We are given a logarithmic function as:

$\log N^3$

As we know the property of logarithm that:

$\log m^n=n\log m$

Hence, we can represent our given function as:

$\log N^3=3\log N$

Hence, the different form of log N^3 by using the given theorems of logarithms is:

$\log N^3=3\log N$

timofeeve [1]3 years ago

5 0

Log N^3 = 3 log N

using the theorem log a^2 = 2 log a

You might be interested in

The model represents the equation <br> 4x+ 4 = 12<br> What value of x makes the equation true

myrzilka [38]

Answer:

Step-by-step explanation:

All you have to basically do on this one is go backwards.

The beginning equation is 4x+4=12, so to first revesre the adding we are going to use 12, the product, and subtract 4 from it (since that is what was added).

12-4=8

Now you need to reverse the times 4, so to do that just divide instead because that is the invese of multiplication.

8/4=2

Now you have 2, which is the variable, x. To make sure this is right you can just put it into the equation and see if 4x2+4 is 12

Hope this helped!

6 0

2 years ago

Which number line shows the solution to −6 − (−2)? A number line is shown from negative 10 to 0 to positive 10. There are increm

VARVARA [1.3K]

Answer:

The correct option is A) A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 4 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.

Step-by-step explanation:

Consider the provided expression.

−6 − (−2)

Open the parentheses and change the sign.

−6 − (−2)

−6 + 2

Subtract the numbers.

−4

Now draw this on number line.

First draw a number line is shown from −10 to 0 to 10. with scale of 2 unit on either side of the number line. Draw an arrow pointing from 0 to −6 Which show −6. Above this, another arrow pointing from −6 to −4 which shows −6 − (−2) = −4. A vertical bar is shown at the tip of the arrowhead of the top arrow.

The required number line is shown in the figure 1.

Hence, the correct option is A) A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 4 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.