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WARRIOR [948]
3 years ago
13

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
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Evaluate 14 – 4 – 2h when p=1 and h=4.
ki77a [65]

Answer:

14 – 4 – 2h = 2

Step-by-step explanation:

14 – 4 – 2h

fill in 4 for h

14 - 4 - 2(4)

14 - 4 - 8

10 - 8

2

hope this helps!!

6 0
2 years ago
What is the solution to the equation 1/square root of 8 = 4^(m + 2)?
Digiron [165]
Take the log (base 4) of both sides of the equation.
\log_{4}(\frac{1}{\sqrt{8}}) = m + 2
\frac{-1}{2} \log_{4}(4^{\frac{3}{2}})-2 = m
-2 \frac{3}{4}= m

The appropriate choice is ...
  m = -11/4
8 0
3 years ago
Read 2 more answers
4. Is rap music more popular among young Indians than among young Asians? A sample survey compared 634 randomly chosen Indians a
bulgar [2K]

Answer:

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap music every day.

Step-by-step explanation:

Given  a sample survey compared 634 randomly chosen Indians aged 15 to 25 with 567 randomly selected Asians in the same age group.

p_{1} = \frac{368}{634} =0.580

It found that 368 of the Indians and 130 Asians listened to rap music every day.

p_{2} = \frac{130}{567} =0.229

Null hypothesis H0: there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

p_{1} = p_{2}

Alternative hypothesis:- p_{1} \neq  p_{2}

Level of significance α = 0.05

The test of statistic

z = \frac{p_{1} -  p_{2}}{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} })  } } }

where p = \frac{n_{1}p_{1} + n_{1}p_{2}}{n_{1}+n_{2}} = \frac{634(0.580)+567(0.229)}{634+567}

       p = 0.414

and q = 1-p = 1- 0.414 =0.586

Z = \frac{0.580-0.229}{\sqrt{0.414(0.586)(\frac{1}{634} +\frac{1}{567} } } }

on calculation , we get

z = 0.300 ><1.96 at 95 % level of significance

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

3 0
3 years ago
Arlene Frank is saving money for her college
lora16 [44]
Can you please include a question please? Thank you
3 0
3 years ago
Read 2 more answers
Factor the expression below 36a2-25b2 which binomial is factor of the expression
Serhud [2]

Answer: (6a + 5b) • (6a - 5b)

 

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "b2"   was replaced by   "b^2".  1 more similar replacement(s).

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (36 • (a2)) -  52b2

Step  2  :

Equation at the end of step  2  :

 (22•32a2) -  52b2

Step  3  :

Trying to factor as a Difference of Squares :

3.1      Factoring:  36a2-25b2

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  36  is the square of  6

Check : 25 is the square of 5

Check :  a2  is the square of  a1

Check :  b2  is the square of  b1

Factorization is :       (6a + 5b)  •  (6a - 5b)

Final result :

 (6a + 5b) • (6a - 5b)

brainly would epic!

7 0
3 years ago
Read 2 more answers
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