1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
motikmotik
2 years ago
10

SECTION B: LOGARITHMS A Question Three: Solve the equation log₂ (4x² - 9).- log₂ (2x + 3) = 3. Hint: (4x² - 9) is a difference o

f two squares.​
Mathematics
2 answers:
lorasvet [3.4K]2 years ago
5 0

Answer:

x = 11/2

Step-by-step explanation:

Use rules for logarithms to write it as a single log. Then use the hint to simplify further. Change it to exponential form to solve. See image.

Shalnov [3]2 years ago
3 0

Answer: 2x+3

Step-by-step explanation: Simplify   ———————

           2x - 3

Trying to factor as a Difference of Squares:

2.1      Factoring:  4x2 - 9

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  4  is the square of  2

Check : 9 is the square of 3

Check :  x2  is the square of  x1

Factorization is :       (2x + 3)  •  (2x - 3)

Canceling Out :

2.2    Cancel out  (2x - 3)  which appears on both sides of the fraction line.

Final result :

 2x + 3

You might be interested in
If and represent rational expressions and b0 and y0, what is true of their product? Select three options.
o-na [289]

Answer:

Their product will be rational Can I see the answer options?

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Show how to solve 1/4 (4 + x) = 4/3<br><br><br><br> pls solve for 2 brainliest
Thepotemich [5.8K]
Simplify
1
4
(
4
+
x
)
4
1
​
(4+x) to
4
+
x
4
4
4+x
​
.
4
+
x
4
=
4
3
4
4+x
​
=
3
4
​


2 Simplify
4
+
x
4
4
4+x
​
to
1
+
x
4
1+
4
x
​
.
1
+
x
4
=
4
3
1+
4
x
​
=
3
4
​


3 Subtract
1
1 from both sides.
x
4
=
4
3
−
1
4
x
​
=
3
4
​
−1

4 Simplify
4
3
−
1
3
4
​
−1 to
1
3
3
1
​
.
x
4
=
1
3
4
x
​
=
3
1
​


5 Multiply both sides by
4
4.
x
=
1
3
×
4
x=
3
1
​
×4

6 Simplify
1
3
×
4
3
1
​
×4 to
4
3
3
4
​
.
x
=
4
3
x=
3
4
​
4 0
3 years ago
Given Trapezoid JOKE with m
yKpoI14uk [10]

Answer:

m∠J =90°
m∠O = 140°

Step-by-step explanation:

We see here angle J having 90°, pure right angle shape.

m<J=90

Then we find the total interior angle using (n-2)*180

(4-2)*180

360°

So, m∠O = 360° - m∠J - m∠E -m∠K

m∠O = 360° - 90° - 80° -50°

m∠O = 140°

3 0
1 year ago
Read 2 more answers
Which hyperbola has one focus point in common with the hyperbola (y+11)^2/(15^2)-(x-7)^2/(8^2)=1
lana [24]

Answer:

3 &4

Step-by-step explanation:

7 0
2 years ago
Which of the following situations could be described by the equation y = 120 - 25x?
Otrada [13]

Answer:

Is there any other information?

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Whats the gcf of 44c^3,22c^3 and 11c^4
    11·2 answers
  • Find the area of the figure to the nearest tenth, if necessary.
    9·2 answers
  • The top of a tower is a cone with a radius of 12 feet. The volume of the cone is 1,506.96 cubic feet. Which of these is the heig
    6·1 answer
  • Fb + 3b = d solve for b
    10·1 answer
  • A sociologist records the annual household income (in thousands of dollars) among a sample of families living in a high-crime ne
    9·1 answer
  • The weights of healthy adult male Labrador Retrievers are approximately Normally distributed with a mean of 77 pounds and a stan
    8·1 answer
  • 1. When three boys jumped on a weighing scale together, it read 200 kilograms One boy stepped off and it showed 142 kilograms On
    11·2 answers
  • Rewrite the equation below so that it does not have fractions.
    12·1 answer
  • How can 5 times 3 to the n/2 power be rewritten as?
    10·2 answers
  • 188,888*1000 ???????<br><br><br><br> really need help!!!!!!!!!!!!!!!!!!!!!!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!