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valentinak56 [21]
2 years ago
13

A teacher used the change of base formula to determine whether the equation below is correct. (log Subscript 2 Baseline 10) (log

Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = 3 Which statement explains whether the equation is correct? The equation is correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = log (2 times 10) times log (4 times 8) times log (10 times 4). = log (20) times log (32) times log (40). =3 The equation is correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = StartFraction log 10 Over log 2 EndFraction times StartFraction log 8 Over log 4 EndFraction times StartFraction log 4 Over log 10 EndFraction. = StartFraction log 8 Over log 2 EndFraction. = 3 The equation is correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = StartFraction log 10 Over log 2 EndFraction times StartFraction log 8 Over log 4 EndFraction times StartFraction log 4 Over log 10 EndFraction. = StartFraction log 8 Over log 2 EndFraction. = 4. The equation is not correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = log StartFraction 10 Over 2 EndFraction times log eight-fourths times log four-tenths. = log 5 times log 2 times log 0. 4. = negative 0. 8.
Mathematics
1 answer:
Arturiano [62]2 years ago
7 0

The solution to the problem is correct and the correct option from the given options is B.

<h3>What is Logarithm?</h3>

A log function is a way to find how much a number must be raised in order to get the desired number.

a^c =b

can be written as

\rm{log_ab=c

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.

The given logarithmic problem can be solved in the following manner, therefore,

\rm log_210\ log_48\ log_{10}4\\\\

Using the logarithmic properties, we can write,

=\rm \dfrac{log10}{log2}\cdot \dfrac{log8}{log4}\cdot \dfrac{log4}{log10}\\\\

Now cancelling out the values we will get,

=\rm \dfrac{log2^3}{log2}\\\\=\rm \dfrac{3log2}{log2}\\\\= 3

Thus, the solution to the problem is correct and the correct option from the given options is B.

Learn more about Logarithm:

brainly.com/question/3181916

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What is another way to name ∠MNO ?
katrin [286]

Alright, lets get started.

Please take a look to the diagram I have attached.

The base side is ON

The terminal side is MN.

We could say angle MNO as angle N.

We could day it as angle ONM also.

So, the answer is ∠ N and ∠ONM.   :  Answer

Hope it will help :)


7 0
3 years ago
HELP ASAPJennifer and Chris completed some chores and split the earnings in the ratio 3:2. Jennifer earned $48.
elixir [45]

Let the total earnings be = x

Jennifer and Chris split the earnings in the ratio 3:2

Jennifer earned = $48

\frac{3x}{5}=48

3x=240

x=80

Hence total earnings are $80

(a) Chris earning is = \frac{2x}{5}=\frac{2*80}{5}=32

Hence, Chris earns $32

(b) Jennifer spends 30% of her earnings on a book.

So, price of the book = \frac{30}{100}\times48

Price of book = $14.40

(c)  Jennifer also buys a magazine for = $5.40

So, total money Jennifer spent on book and magazine = 14.40+5.40=19.80

Money left with Jennifer = 48-19.80= $28.20

In fractions = \frac{28.20}{48}

or multiplying the numerator and denominator by 10, we get

\frac{282}{480}=\frac{47}{80}

(d) Let the original price of the shirt = x

reduction percentage on x= 40%

Price paid after reduction = 16.80

\frac{40x}{100}=16.80

40x=1680

x=42

Hence, the original price of the shirt was $42.


8 0
3 years ago
What does it mean please help urgent
Furkat [3]
It is a pronoun that is used to replace a previously mentioned noun or is used to identify a person.
6 0
3 years ago
Please help with this question!
Volgvan

Answer:

hey hope you get the answer right

Step-by-step explanation:

4 0
3 years ago
What is 7 divided by 1/3 in multiplication
sveta [45]
It would be 7x3 which would equal 21. Hope that helped!
4 0
3 years ago
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