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balu736 [363]
3 years ago
8

What is the solution of log2x − 3125 = 3? (1 point)

Mathematics
1 answer:
gladu [14]3 years ago
3 0

We have been asked to find the solution of

{Log_{(2x-3)}}^{125}=3\\ \\ \text{we can re-write after Removing logarithm as below}\\ \\ (2x-3)^3=125\\ \\ (2x-3)^3=5^3\\ \\ \text{Now take cubed root on both the sides we get}\\ \\ 2x-3=5\\ \\ \text{Add 3 on both the sides we get}\\ \\ 2x=8\\ \\ \text{Divide both the sides by 2 we get}\\ \\ x=4

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This table represents the number of inches, n, a plant grows after m, months in a new pot.
Yuki888 [10]

Answer: Slope = 5/4

y-intercept = 2

Step-by-step explanation:

We have the table:

Months, m            Plant height in inches, n

0                           2

2                           4.5

4                            7

6                            9.5

We want a linear relationship to represent this table.

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In this case we can select any pair of points, for example, i will choose the first two:

(0, 2) and (2, 4.5)

Then the slope is:

a = (4.5 - 2)/(2 - 0) = (2.5/2) = 1.25 = 5/4

Then our line can be written as:

y = (5/4)*x + b

To find the value of b, we can replace the values of any of the points in the equation, for example, i will use the point (0, 2) or x = 0, y = 2.

2 = (5/4)*0 + b

2 = b

Then our equation is:

y = (5/4)*x + 2.

Slope = 5/4

y-intercept = 2

8 0
3 years ago
Whats the area of a circle that has a 8mm dimeter using 3.14 of pi
djyliett [7]

Answer:

50.24

Step-by-step explanation:

8/2 = 4

3.14 x 4^2 = 50.24

8 0
2 years ago
Fill in the other coordinate for the line y=23x+3 y = 2 3 x + 3 : (3, )
Igoryamba
23(3) +  3

= 72

Why do you write 2 equations?

5 0
3 years ago
Read 2 more answers
What are 3 x-intercepts of <br> f(x)=x^2-8x+7
Nadya [2.5K]

Answer:

you use to computer:

x1=7

x2=1

7 0
3 years ago
Question 4 (20 points)
Pepsi [2]
16 there is the answer glad to help
4 0
2 years ago
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