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
andreyandreev [35.5K]
3 years ago
5

Log base4 (x+3)(x-3)=2pls I need it urgently​

Mathematics
1 answer:
Shalnov [3]3 years ago
6 0

Answer:

x = 5 or -5

Step-by-step explanation:

if a = b, c^a = c^b

make each side the exponent of 4

4^[log base4 (x+3)(x-3)] = 4^2

since a^(log basea b) = b, (think of the definition of logs as the inverse of exponents here)

(x+3)((x-3) = 16

x^2 -9 = 16x^2 = 25

x = 5 or -5

You might be interested in
Find the area of the trapezoid. points are (-5,-3)(4,-3)(6,-7)(-7,-7)​
Olegator [25]

Answer:

44 square units

Step-by-step explanation:

The area of a trapezoid with bases b₁ and b₂ and height h is given by the formula

A=\left(\dfrac{b_1+b_2}{2}\right)h

If you're wondering how we get this formula, check the attached illustration (remember the area of a parallelogram is its base multiplied by its height)! Moving on to our trapezoid, the pairs of points (-5,-3)(4,-3) and (6,-7)(-7,-7) form two horizontal segments, which form b₁ and b₂, and our height is the distance between the y-coordinates -3 and -7, which is 4. We can find b₁ and b₂ by finding the distance between the x coordinates in their pairs of points:

b_1=|-5-4|=|-9|=9\\b_2=|6-(-7)|=|6+7|=13

Putting it altogether:

A=\left(\dfrac{9+13}{2}\right)(4)=\left(\dfrac{22}{2}\right)(4)=(11)(4)=44

So the area of our trapezoid is 44.

4 0
3 years ago
Which of the following statements
irga5000 [103]

Answer:

tqweryetqwewrqfvwrq

Step-by-step explanation:

5 0
3 years ago
Ordena esto <br>4/8, <br>9/16<br>3/4<br>4/6<br>​
alina1380 [7]

Answer:

If you were to order them least to greatest, it would be:

4/8 < 9/16 < 4/6 < 3/4

If you were to order them greatest to least, it would be:

3/4 > 4/6 > 9/16 > 4/8

8 0
3 years ago
A train left for London, and after 9 hours later, a car traveling 80 miles per hour tried catching up to the train. After 3 hour
morpeh [17]

Answer:

20 miles per hour

Step-by-step explanation:

Given that the train left for London, and after 9 hours later, a car traveling 80 miles per hour tried catching up to the train. After 3 hours, the car caught up

Which means that the car travelled the same distance in 3 hours as the train travelled in 9 + 3 = 12 hours

Let the distance be d

Given the speed of car is 80 miles per hour

We know that speed=\frac{distance }{time}

80=\frac{d}{3}

d = 240 miles

Now for the train Average speed = total distance / total time taken

Average speed of the train = \frac{240}{12} = 20 miles per hour

7 0
3 years ago
A science teacher wants to prepare a resource pack for each of the 120 pupils in year 10. She will need to photocopy 40 pages pe
Tresset [83]

Answer:

She would save £5

Step-by-step explanation:

→ First work out the cost of items for one student. Work out cost of the photocopying

40 × £0.02 = £0.80

→ Add the cost of the one folder

£0.80 + £0.70 = £1.50

⇒ Now we know £1.50 is the amount of money it costs for one student, we multiply that by 120 because there are 120 pupils

£1.50 × 120 = £180

→ £180 is the total cost and now we minus that from the online price of £175

£180 - £175 = £5

6 0
3 years ago
Other questions:
  • What times 5 equals 4
    7·2 answers
  • I need to solve y=a(x-h)²+k for a...<br> Help!
    14·2 answers
  • The price of a house is originally listed at $205,000. The owners are having a hard time selling it and decide to reduce the pri
    5·1 answer
  • A ^-4 / a ^-6 please simplify and show your work if possible &lt;:D
    8·1 answer
  • How you do you solve for it??
    8·1 answer
  • The graph shows the relationship between the weight of a box and the number of books added to the box.
    9·2 answers
  • A jar contains 8 large red marbles, 5 small red marbles, 9 large blue marbles, and 7 small blue marbles. If a marble is chosen a
    15·1 answer
  • 1.3b+7.8-3.2b plz answer, combining like terms. khan academy sucks T^T
    9·1 answer
  • Which expression is equivalent to square root of 80
    14·2 answers
  • The angle measurements in the diagram are represented by the following expressions.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!