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goblinko [34]
3 years ago
10

High statement is true? Y=log10^x is not a logarithmic function because the base is greater than 0

Mathematics
2 answers:
horrorfan [7]3 years ago
6 0
C.) y=log1X is not a logarithmic function because the base is equal to 1. XD
Just took the test!!

Sorry I didn't see this earlier 
TEA [102]3 years ago
5 0

Answer:

Option 3 - y=\log_{1}x is not a logarithmic function because the base is equal to 1.

Step-by-step explanation:

To find : Which statement is true?

Solution :

As the function defined in all statement is logarithmic function.

So, The definition of logarithmic function is defined as

y=\log_bx\Rightarrow b^y=x where, b>0 and b ≠ 1.

Now, The following statement

1) y=\log_{10}x is not a logarithmic function because the base is greater than 0.

The statement is False as by definition, the base of a log must be greater than zero but cannot equal one.

2) y=\log_{\sqrt3}x is not a logarithmic function because the base is a square root.

The statement is False as by definition, the base \sqrt3  is a positive number not equal to one.

3) y=\log_{1}x is not a logarithmic function because the base is equal to 1.

The statement is True as by definition log cannot have a base of one.

4)  y=\log_{\frac{3}{4}}x is not a logarithmic function because the base is a fraction.

The statement is False, as 3/4 is a legitimate base, just like any other positive number other than one.

Therefore, Option 3 is true.

You might be interested in
Which answer is the approximate standard deviation of the data set?
Anna35 [415]

Answer:

3.4

Step-by-step explanation:

Standard deviation of a population is defined as:

σ² = ∑(xᵢ − μ)² / n

The standard deviation of a sample is defined as:

s² = ∑(xᵢ − x)² / (n - 1)

It's not clear which one we have, so let's calculate both.

First, we must find the mean.

μ = (5+12+15+10+12+6+8+8) / 8

μ = 9.5

Now we find the squares of the differences:

(5-9.5)² + (12-9.5)² + (15-9.5)² + (10-9.5)² + (12-9.5)² + (6-9.5)² + (8-9.5)² + (8-9.5)²

= 80

Divide by n:

σ² = 80 / 8

σ² = 10

And take the square root:

σ = √10

σ ≈ 3.2

That's not one of the answers, so let's try the standard deviation of a sample instead of a population.

Instead of dividing by n, we'll divide by n-1:

s² = 80 / 7

And take the square root:

s = √(80/7)

s ≈ 3.4

So that must be it.

6 0
3 years ago
What does x= in the equation?
vampirchik [111]

Answer:

3.5

Step-by-step explanation:

2x + 5 = 12

-- minues five from both sides --

2x = 7

-- divide both sides by two ---

x = 3.5

<em><u>Please give brainliest. </u></em>

4 0
3 years ago
Marco has a jug with 37 1/2 ounces of juice.He wants small cups to give samples of the juice. each cup can hold 2 1/2 ounces of
Rom4ik [11]
Turn both fractions into mixed fractions resulting in 75/2 and 5/2. Then turn them into decimals. 75/2= 37.5 and 5/2= 2.5. Then divide each other  37.5 / 2.5= 15. 15 is your answer. Hope it helped :)
7 0
3 years ago
The current in a stream moves at a rate of 7 mph. If a boat travels 98 miles downstream in the same time that it takes to travel
JulijaS [17]

If the current in a stream moves at a rate of 7 mph. If a boat travels 98 miles downstream in the same time that it takes to travel 49 miles upstream then the speed of the boat in still water is 21 miles per hour.

<h3>What is speed?</h3>

Speed is the distance covered by an object in a certain time period. It is also known as velocity. The formula of speed is as follows:

Speed=Distance/ Time.

<h3>How to calculate speed?</h3>

We have been given that the speed of stream is 7miles per hour.

Let v be the speed of the boat, and t the time to travel

98=t*(7+v) (1)

49=t(v-7) (2)

(1)+(2) => 2tv=147

7t+(49+7t)=98

14t+49=98

14t=49

t=49/14

t=7/2

Put the value of t in equation 1 to get the value of v:

98=t(7+v)

98=7/2(7+v)

196/7=7+v

28=7+v

v=28-7

v=21

Hence if the current in a stream moves at a rate of 7 mph. If a boat travels 98 miles downstream in the same time that it takes to travel 49 miles upstream then the speed of the boat in still water is 21 miles per hour.

Learn more about speed at brainly.com/question/4931057

#SPJ2

6 0
2 years ago
Read 2 more answers
Lucy had math and reading homework tonight. Lucy can solve each math problem in 5 minutes and she can read each page in 2.5 minu
drek231 [11]

Answer:

x=18,y=6,  graph is there for reference.

Step-by-step explanation:

Given,

x is the number of math problem Lucy solved.

y is the number of  pages she read.

She can do each math problem in  5 minutes, therefore she can solve x number of questions into 5 \times x=5x minutes.

She can read each page in 2.5 minutes, therefore she can read y pages in 2.5y minutes.

As per given detail,

5x+2.5y=105 equation 1.

And,

It is given that number of math problems Lucy solved is 3 times the number of pages she read.

x=3y equation 2.

We need to find x and y intercept of each of the equation to graph them.

For x-intercept put y=0

We will get x=\frac{105}{5} =21

Thus the point is (21,0)

Let us find y-intercept by assuming x=0

we get y=\frac{105}{2.5} =42

Thus the point is (42,0)

Join these two points.

Similarly considering the other equation x=3y

Here x-intercept would be at y=0

We will get x=0

Thus the point is (0,0)

Let us assume on more point, say x=30 , we get y=10

Thus the point is (30,10)

Join these two points.

We will get a point of intersection at (18,6)

Thus x=18 and y=6

8 0
3 years ago
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