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tia_tia [17]
3 years ago
5

Ln (x-2) +ln (2x-3)=2ln x

Mathematics
1 answer:
goblinko [34]3 years ago
4 0
D:x-2\ \textgreater \ 0 \wedge 2x-3\ \textgreater \ 0 \wedge x\ \textgreater \ 0\\
D:x\ \textgreater \ 2 \wedge x\ \textgreater \ \dfrac{3}{2}\wedge x\ \textgreater \ 0\\
D:x\ \textgreater \ 2\\\\
\ln (x-2) +\ln (2x-3)=2\ln x \\
\ln (x-2)(2x-3)=\ln x^2\\
(x-2)(2x-3)=x^2\\
2x^2-3x-4x+6=x^2\\
x^2-7x+6=0\\
x^2-x-6x+6=0\\
x(x-1)-6(x-1)=0\\
(x-6)(x-1)=0\\
x=6 \vee x=1\\
1\not \in D\\
\boxed{x=6}
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lutik1710 [3]
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6 0
3 years ago
A circle is centered at the point (5, -4) and passes through the point (-3, 2).
harina [27]

Answer:

The answer to your question is:

             (x - 5)² + (y + 4)² = 10²     or         (x - 5)² + (y + 4)² = 100

Step-by-step explanation:

Data

Center (5, - 4)

Point ( -3 , 2)

Formula

d = √ ((x2- x1)² + (y2 - y1)²)

(x - h)² + (y - k)² = r²

Process

Radius

d = √ ((-3 - 5)² + (2 + 4)²)

d = √ ((-8)² + (6)²)

d = √ 64 + 36

d = √100

d = 10 units

Circle

                           (x - 5)² + (y + 4)² = 10²

                             (x - 5)² + (y + 4)² = 100

8 0
3 years ago
ABCD is a rectangle. Angle D = 3x + 20 + 7x - 3x. Solve for x
Elodia [21]

Answer:

angle D equal to 3 X + 20 + 7 x minus 3 x

=90 degree equal to x minus 3 X + 20

7 X equal to 70 X equal to 10

4 0
3 years ago
What’s the approximate value of tan 1
goldfiish [28.3K]

Answer: tan 1 radians = 1.557, tan 1 degrees = 0.017

6 0
2 years ago
PLEASE CAN SOMEONE HELP IM SO DESPERATE IVE BEEN STUCK ON THIS FOREVER
Maru [420]

Answer:

0.34

Step-by-step explanation:

The total probability is equal to one.

P (Dr. Green) = 1 - (0.25 + 0.17 + 0.21 + 0.03)

= 1 - 0.66

= 0.34

3 0
2 years ago
Read 2 more answers
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