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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.

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In ABC, side BC is extended to point E. When connected to vertex A, segment EA is parallel to segment BD. In this construction,
Anuta_ua [19.1K]

Two triangles are said to be <u>congruent</u> if they have <em>similar</em> properties. Thus the required <u>options</u> to complete the <em>paragraph proof</em> are:

a. angle 1 is <u>congruent</u> to angle 2.

b. <em>alternate</em> angles are <u>congruent</u> if two parallel lines are cut by a <em>transversal</em>.

c. \frac{AD}{CD} = \frac{AB}{CB}

The <em>similarity property</em> of two or more shapes implies that the <u>shapes</u> are congruent. Thus they have the <em>same</em> properties.

From the given <u>diagram</u> in the question, it can be deduced that

ΔABC ≅ ΔABE (<em>substitution</em> property of equality)

Given that EA is <u>parallel</u> to BD, then:

i. <2 ≅ <3 (<em>corresponding</em> angle property)

ii. <1 ≅ < 4 (<em>alternate</em> angle property)

Thus, the required options to complete the <em>paragraph proof</em> are:

  • Angle 1 is <em>congruent</em> to angle 2.
  • Alternate angles are <u>congruent</u> if two parallel lines are cut by a <em>transversal</em>.
  • \frac{AD}{CD} = \frac{AB}{CB}

For more clarifications on the properties of congruent triangles, visit: brainly.com/question/1619927

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6 0
1 year ago
Write an inequality to describe the possible values of x.
Papessa [141]

Answer:

d

Step-by-step explanation:

x<9+7, and x+7>9

solve

x<16

x>2

2<x<16

6 0
3 years ago
The formula P = 4s gives the perimeter P of a square with side length s.
12345 [234]

It would be bigger than 1/2 inches because they are simply asking for the difference which is 5 1/2-5= 1/2.

6 0
2 years ago
I need Geometry help!!!
choli [55]
Vertical angles are equal, so
.. 3x +8 = 5x -20
.. 28 = 2x . . . . . . . . add 20-3x
.. 14 = x . . . . . . . . . . divide by 2

Each of the vertical angles is 3*14 +8 = 50°, so the supplementary one is 130°.
.. 5*14 +4y = 130
.. 4y = 60 . . . . . . . . subtract 70
.. y = 15 . . . . . . . . . . divide by 4

The values of interest are
.. x = 14
.. y = 15
6 0
3 years ago
Gary draws this sequence of patterns of white and grey squares. The sequence is continued. How many grey squares will there be w
zzz [600]

Answer:

20 gray squares

Step-by-step explanation:

Given

See attachment for squares

Required

Number of gray squares when white = 16

First, we calculate the equation that represents both squares.

<u>The white squares</u>

a = 2 --- initial

d = 4 - 2 = 6 - 4

d = 2 -- difference between successive gray squares

So, the nth term is:

W_n = a + (n - 1)d

W_n = 2 + (n - 1)*2

W_n = 2 + 2n - 2

W_n = 2n

<u>The gray squares</u>

a = 6 --- initial

d = 8-6=10-8

d = 2 -- difference between successive gray squares

So, the nth term is:

G_n = a + (n - 1)d

G_n = 6 + (n - 1) *2

G_n = 6 + 2n - 2

G_n = 4 + 2n

When the white squares is 16

W_n = 16 --- Calculate n

W_n = 2n

16 = 2n

8 = n

n = 8

To get the number of gray squares;

Substitute n = 8 in G_n = 4 + 2n

G_n = 4 + 2 * 8

G_n = 20

4 0
2 years ago
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