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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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Can someone help me with this quickly please.​
ELEN [110]

Answer:

See explaination

Step-by-step explanation:

Probability is the number of desired outcomes over the total outcomes.

1) You want to find Oranges, so that is your desired outcome:

There are 4 oranges in the bowl.

Now sum up all the fruits to get the total:

9+4+7+3+6 = 29

Therefore you have 4/29

2) Same idea, count the peaches and put it over total:

3/29

3) This time, you still want to use the same idea, but its just your desired outcomes that have increased. So instead of just having one fruit, now you want to add the total of 2 fruits as your desired outcome.

(9+4)/29

= 13/29

4) To find the probability of a fruit other than a plum, you can use complementary counting. Since the maximum probability is one, we can find what we dont want, and the outcome of that subtracted from one must be the results that we want.

So a plum is 6/29

1-6/29 = 23/29

5) Same idea as what is used in problems 3 and 4, just a combination of the 2.

(4+3)/29

1-7/29

= 22/29

8 0
2 years ago
2/3 + 1/2 in simple form fractions
nata0808 [166]
Try and find the common denominator which is 6 since 2×3 is 6 then once u get ur denominator u have to find the numerator which would be 4/6+3/6 And that would equal 7/6 and if you would u would keep it like that but if u would have to change it into a mixed fraction it would be 1 and 1/6

Hoped this helped
3 0
3 years ago
A savings accouny has 50 dollars in it at the start of the year and 20 dollars is deposited each week. After x weeks, there are
Diano4ka-milaya [45]
I’m assuming you need to write an equation to display the relationship.
y=20x+50
3 0
2 years ago
196 divided by 3.5 show your work
Ilya [14]

Answer:

56

Step-by-step explanation:

Sorry for not showing my work im a mental worker

196/3.5= 56

5 0
2 years ago
What is Factor 64b-16c to identify the equivalent expressions.
liubo4ka [24]
Answer:
16(4b - c)

Explanation:
16 x 4b = 64b
16 x c = 16c
3 0
3 years ago
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