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cestrela7 [59]
3 years ago
13

Solve the equation below for x. log2x + log(2x - 1) = log3x

Mathematics
1 answer:
frosja888 [35]3 years ago
6 0

Answer:

x = 5/4

Step-by-step explanation:

1. cancel x for log 3x and 2x

2. multiply log 2x-1 by log 2

3.simplify to log 4x-2 = log3

4.logs will cancel out and leave you with 4x-2 = 3

5. solve and get 5/4

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Which is the range of the following relation?
Afina-wow [57]

Answer:

Odd integers

Step-by-step explanation:

The range is odd integers, if you add 1 to any even integer it becomes an odd integer. 2+1=3; 10+1=11

6 0
3 years ago
Pls help 25h²- 16t² factorise it​
noname [10]

Answer:

(5h-4t)(5h+4t)

Step-by-step explanation:

25h² - 16t²

adding  and subtracting 20ht from it        (√25 and √16 = 5x4 = 20):

25h² + 20ht - 20ht -16t²

factor:

(5h-4t)(5h+4t)

8 0
3 years ago
Read 2 more answers
A bug splatters on the windshield of a moving car. Describe the 1. Forces 2. Impulses 3. Momentum changes 4. And accelerations o
uranmaximum [27]

Answer:

acceleration=force/mass

Due to variation in the mass[ as same force as per magnitude acts on both of them] the acceleration developed in the bug will be more and the acceleration developed in the car is negligible.

impulse=change in momentum

The impulse of bug is more and that of car is small.

momentum changes=change in momentum

force=change in momentum/time of contact

the force exerted by car on the bug will be more than the converse

Total. momentum is conserved , so magnitude of change in momemtum or impulse is same. By Newtons third law, since the bug have smaller mass, its change in magnitude of velocity is larger.

Step-by-step explanation:

4 0
3 years ago
What is a factor of 15 but not a multiple of 3
11111nata11111 [884]
45
15 is a multiple of 3
30 is a multiple of 3
45 is NOT a multiple of 3
60 is a multiple of 3
Ect.
7 0
3 years ago
7. The points P(2, -3), Q(3, -2) and R(8, z) are
Hatshy [7]

Answer:

z = 3

Step-by-step explanation:

Since the points are collinear then the slopes between the points are equal.

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = P (2, - 3) and (x₂, y₂ ) = Q (3, - 2)

m = \frac{-2+3}{3-2} = 1

Repeat with

(x₁, y₁ ) = Q (3, - 2) and (x₂, y₂ ) = R (8, z )

m = \frac{z+2}{8-3} = \frac{z+2}{5} , then

\frac{z+2}{5} = 1 ( multiply both sides by 5 )

z + 2 = 5 ( subtract 2 from both sides )

z = 3

4 0
2 years ago
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