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
dsp73
2 years ago
11

If 3 to the power of x+1 = 81 and 81 to the power of x-y = 3 then what is the value of x and y?

Mathematics
1 answer:
fgiga [73]2 years ago
4 0
From 1st condition:

3^(x+1)=81
Take log on both sides,
➡ log [3^(x+1)]=log81
Use the property: log(x^a)=a logx
➡ (x+1) log 3=log(3⁴)
➡ (x+1) log 3=4×log 3
➡ (x+1)=4 (log 3 /log 3)
➡ x+1=4
➡ x=3➡↪➡↪ ANS

From 2nd condition, (Same process are repeated)

81^(x-y)=3
➡ 3^4(x-y)=3
➡ log [3^4(3-y)]=log 3
➡ 4(3-y) log 3=log 3
➡ (3-y)=(log 3)/(4log 3)
➡ 3-y=(1/4)
➡ y=11/4 ➡↪➡↪ ANS
You might be interested in
#18 help ASAP I have a quiz tomorrow!!!!!
Brut [27]

Answer:

$320

Step-by-step explanation:

Please see attached picture for full solution.

8 0
3 years ago
What is the answer to this sum 5/6 of 120
ELEN [110]
100 is the correct answer
6 0
3 years ago
The next model of a sports car will cost 5.8% more than the current model the current model cost 31,000 how much will the price
iren2701 [21]

Answer:

1798 and 32798

Step-by-step explanation:

31000/100=310

310x5.8=1798

8 0
3 years ago
The measure of two opposite interior angles of a triangle are and. The exterior angle of the0x−14x+4triangle measures. Solve for
11111nata11111 [884]

Answer:

60 degrees

Step-by-step explanation:

Restructured question:

The measure of two opposite interior angles of a triangle are x−14 and x+4. The exterior angle of the triangle measures 3x-45 . Solve for the measure of the exterior angle.

First you must know that the sum of interior angle of a triangle is equal to the exterior angle

Interior angles = x−14 and x+4

Sum of interior angles = x-14 + x + 4

Sum of interior angles = 2x - 10

Exterior angle = 3x - 45

Equating both:

2x - 10 = 3x - 45

Collect like terms;

2x - 3x = -45 + 10

-x = -35

x = 35

Get the exterior angle:

Exterior angle =   3x - 45

Exterior angle = 3(35) - 45

Exterior angle = 105 - 45

Exterior angle = 60

Hence the measure of the exterior angle is 60 degrees

<em>Note that the functions of the interior and exterior angles are assumed. Same calculation can be employed for any function given</em>

6 0
3 years ago
Geometry math question no Guessing and Please show work
tatyana61 [14]

The point where the two diagonals meet is also the midpoint of both diagonals.

This means that AE = EC . Since we have the value for both segments, we have

AE = EC \implies 2x = x+2 \implies x = 2

Since AC = AE + EC, we have

AE + EC = 2x+x+2 = 3x+2 = 3\cdot 2 + 2 = 6+2 = 8

4 0
3 years ago
Other questions:
  • What is the x value of 10=-x-8-6
    11·1 answer
  • 5x-8= 1/3 (6x+12)-3x<br><br> a) -1<br> b) -12/5<br> c)10/3<br> d) 2
    9·1 answer
  • Noam solved the equation for k using the following calculations.
    10·2 answers
  • The local drugstore is offering 15% off the normal price for a 16-pack of AAA batteries. If a 16-pack of AAA batteries is normal
    11·1 answer
  • Translate the following statement into an appropriate algebraic statement: The number of text messages sent times $0.15 plus the
    12·1 answer
  • Which explanation about figures is correct? * A. All rhombuses are parallelograms. Parallelograms have 2 pairs of parallel sides
    11·1 answer
  • Please tell me the answer quick
    9·1 answer
  • 322 kilometer is how many meters
    9·2 answers
  • ✓ 10
    6·1 answer
  • (m + n)3<br> for m = 1 and n = 1
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!