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
notsponge [240]
3 years ago
14

Solve log2 [log3 (log4 x)]=0​

Mathematics
1 answer:
vfiekz [6]3 years ago
6 0
The correct answer is 2
You might be interested in
the length of a rectangle is 3m more than twice the width, and the area is 180m². find the dimensions of the rectangle​
Fofino [41]

The breadth (width) of a rectangle, w, is 3m less than its length, l. If the area, A, is 180m square, what is the dimension of the rectangle?

Given:

A = 180 m^2

w = l - 3 m

Find:

l

We have one unknown in this scenario, representing length, l. So, we only need to write one equation for a numerical solution.

Since we know how the area, A, of a rectangle is related to its length, l, and breadth (width), w, we can write the equation as follows:

A = lw

Substituting our given values into the equation:

180 = l x (l - 3)

180 = l^2 - 3l

0 = l^2 - 3l - 180

This is a simple quadratic equation. We can solve it by brute force using the Quadratic Formula which states:

The roots of an equation in the for Ax^2 + Bx + C = 0 are

(-B + or minus SQRT[B^2 - 4AC])/2A

But, if we are on a timed test, there is an easier way to get to this answer rapidly.

We know the length and breadth (width) are probably integers, and that they lie three spaces apart on the number line, l = w + 3. We also know the area, A = 180, so 180 = lw. Since the SQRT[A] would equal l and w if they were the same, that’s a good first approximation.

SQRT[180] = 13.4

So, w will be less than 13.4, and l will be more.

Let’s try w = 13, and l = 13 + 3 = 16. 13 x 16 = 208 > 180 No

Let’s try w = 12, and l = 12 + 3 = 15. 12 x 15 = 180 = 180 Yes

A good test taker will be able to do this math in their head, without doing any of the calculations we’ve shown here. Let’s run through the mental steps.

180 = lw

w = l + 3

SQRT[180] = 13.4 = lw so l and w straddle 13.4

the last two digits of l and w must have a product that is a multiple of ten since 180 is a multiple of ten. 2 and 5 are three apart and a multiple of 10, so try 12 x 15 = 180 Check.The breadth (width) of a rectangle, w, is 3m less than its length, l. If the area, A, is 180m square, what is the dimension of the rectangle?

Given:

A = 180 m^2

w = l - 3 m

Find:

l

We have one unknown in this scenario, representing length, l. So, we only need to write one equation for a numerical solution.

Since we know how the area, A, of a rectangle is related to its length, l, and breadth (width), w, we can write the equation as follows:

A = lw

Substituting our given values into the equation:

180 = l x (l - 3)

180 = l^2 - 3l

0 = l^2 - 3l - 180

This is a simple quadratic equation. We can solve it by brute force using the Quadratic Formula which states:

The roots of an equation in the for Ax^2 + Bx + C = 0 are

(-B + or minus SQRT[B^2 - 4AC])/2A

But, if we are on a timed test, there is an easier way to get to this answer rapidly.

We know the length and breadth (width) are probably integers, and that they lie three spaces apart on the number line, l = w + 3. We also know the area, A = 180, so 180 = lw. Since the SQRT[A] would equal l and w if they were the same, that’s a good first approximation.

SQRT[180] = 13.4

So, w will be less than 13.4, and l will be more.

Let’s try w = 13, and l = 13 + 3 = 16. 13 x 16 = 208 > 180 No

Let’s try w = 12, and l = 12 + 3 = 15. 12 x 15 = 180 = 180 Yes

A good test taker will be able to do this math in their head, without doing any of the calculations we’ve shown here. Let’s run through the mental steps.

180 = lw

w = l + 3

SQRT[180] = 13.4 = lw so l and w straddle 13.4

the last two digits of l and w must have a product that is a multiple of ten since 180 is a multiple of ten. 2 and 5 are three apart and a multiple of 10, so try 12 x 15 = 180 Check.

4 0
3 years ago
Simplify 10d-3d ? Pls tell me I need help on this
Mariana [72]

Answer:

7d

Step-by-step explanation:

10d-3d  = 7 d

hope it's helpful dear :)

3 0
3 years ago
Read 2 more answers
Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 ​ of a blanke
Gnesinka [82]

Answer:


Step-by-step explanation:

Given that Darcie wants to donate minimum 3 blankets to donate to a homeless shelter.  No of days left =60

No of days to complete one blanket = 1/(1/15) = 15 days

Hence in 60 days she has to complete ≥3 blankets

No of days she has to utilize for this will be ≥3(15)=45

No of days she can skip crocheting ≤15

Let x be the no of days crocheted and y no of days skipped

Then x+y≤60

See the graph attached as x axis for days crocheted and y for days skipped

No of blankets can be either 3 or 4.


4 0
3 years ago
Read 2 more answers
Which three-dimensional figure is formed by the rotation given?
marysya [2.9K]
A line being rotated in such a way I would think would be A
5 0
3 years ago
Read 2 more answers
heavy rain in oxford caused the creek to rise. the creek rose 3 inches the first day, and each day twice as much as the previous
Fittoniya [83]

48 inches???

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • A homeowner has 200 feet of fence to enclose an area for a pet.
    14·1 answer
  • Long explanation for 4 9/14 - 2 6/7 + 8 5/6=<br><br>The answer is 10 13/21 but I can not get that.
    15·1 answer
  • A student club holds a meeting. The predicate M(x) denotes whether person x came to the meeting on time. The predicate O(x) refe
    7·1 answer
  • Can someone please help me ☹️
    13·1 answer
  • Help me please, I need ASAP!!!
    12·1 answer
  • Help pls someone?!? )):
    15·1 answer
  • If x = 3 and y = 2, evaluate x^2y
    15·1 answer
  • Model a desert community where 48% of the area is covered with houses. Place houses on of the 100 squares to represent or 48% ho
    9·1 answer
  • 4(3x + 4) - 2x = 24<br> PLSS answer
    13·1 answer
  • Ill mark brainlist plss help
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!