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GREYUIT [131]
3 years ago
11

Which logarithmic equation is equivalent to the exponential equation below? 7^x=21

Mathematics
2 answers:
mihalych1998 [28]3 years ago
8 0

Answer:

\log_721=x

Step-by-step explanation:

We have been given the exponential function 7^x=21

We know the relation between exponential and logarithmic function

\text{if }y=b^x\Rightarrow\log_b(y)=x

Comparing, this with the given equation, we get

y = 21

b = 7

x = x

Thus, using the relation, we have

7^x=21\\\\=\log_721=x

Therefore, the equivalent logarithmic equation is

\log_721=x

Irina-Kira [14]3 years ago
7 0
Log base 7 (21)=x
Hope this helps!
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Over the first five years of owning her car, Gina drove about 12,200 miles the first year, 16,211 miles the second year, 12,050
weeeeeb [17]
(12,200 + 16,211 + 12,050 + 11,350 + 13,325) / 5 = 65136/5 = 
13027.2 <== this is the mean (average)

11,350 , 12,050 , 12,200 , 13,325, 16,211
median (middle number) = 12,200

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4 0
3 years ago
Read 2 more answers
1. Identify your variables using let statements.
Advocard [28]

The number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

<h3>How to find the number of each type of dish.</h3>

Let

  • x = number of chicken dish and
  • y = number of lobster dish
<h3>How to determine the equations for the linear system</h3>

Since it cost $40 per dish for chicken dish, the total cost of chicken dish is 40x.

Also, since it cost $70 per dish for lobster dish, the total cost of lobster dish is 70y

So, the total cost of dish is T = 40x + 70y

Also, we know that the total cost of dish is $13,570.

So, 40x + 70y = 13570  (1)

Also, there are going to be 250 guest at the dinner and thus 250 dishes.

So, the total number of dishes is x + y = 250

So, x + y = 250 (2)

So, the equations of the linear system are

40x + 70y = 13570  (1)

x + y = 250 (2)

<h3>How to determine the solution for the linear system</h3>

Since

40x + 70y = 13570  (1)

x + y = 250 (2)

From (2), x = 250 - y

Substituting x into (1), we have

40x + 70y = 13570  (1)

40(250 - y) + 70y = 13570  (1)

10000 - 40y + 70y = 13570  

30y = 13570 - 10000

30y = 3570

y = 3570/30

y = 119

Substituting y = 119 into x, we have

x = 250 - y

x = 250 - 119

x = 131

Therefore, the number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

Learn more about equation of linear system here:

brainly.com/question/13729904

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7 0
2 years ago
Jennifer utilizo 2/7 de metro de cinta para hacer moños para sus primas. Ahora le quedan 10/21 de metro de cinta. ( problema ver
Vikki [24]

Answer:

x = \frac{16}{21}\,m

Step-by-step explanation:

El enunciado pregunta la cantidad inicial de cinta utilizada por Jennifer, la cual es la suma de la porción utilizada y la porción remanente:

x = \frac{2}{7}\,m + \frac{10}{21}\,m

x = \frac{42}{147}\,m + \frac{70}{147}\,m

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Pradeep is planning locations for her area members to vote. There are 44,832 people in the area and each location can hold 380 p
likoan [24]

Answer:

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3 0
3 years ago
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Pepsi [2]

Answer:

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Give the fractions a common denominator of 28 then add.

12/28>7/28, so the son mowed more. 7/28+12/28=19/28. subtract this from 1 whole lawn and get 9/28.

3 0
2 years ago
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