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
White raven [17]
3 years ago
13

Find x such that 3^x = 27 mod 32 (b)

Mathematics
1 answer:
gregori [183]3 years ago
7 0

Answer:

The value of x is 11.

Step-by-step explanation:

Consider the provided information.

It is given that 3^x = 27 mod\ 32

We know that:

3^4=81

Now if we divide the number 81 with 32 it will gives us remainder 17.

This can be written as:

3^4\equiv 17(mod\ 32)

Now use the property: a^n\equiv b^n(mod\ m)

(3^4)^2\equiv 17^2(mod\ 32)

17²=289, if we divide 289 with 32 it will gives us remainder 1, thus.

3^8\equiv 1(mod\ 32)

Multiply both the sides by 3³.

3^8\times 3^3\equiv 3^3(mod\ 32)

3^{11}\equiv 27(mod\ 32)

Hence, the value of x is 11.

You might be interested in
Find m2 ROL if<br><br> m2 ROC = 31° and<br><br> m2 COL = 52°<br><br> 0<br><br> L
Tamiku [17]

Answer:

<h3>83°</h3>

Step-by-step explanation:

Given the parameters

m2 ROC = 31° and

m2 COL = 52°

According to the diagram in the attachment;

m2 ROL =  m2 ROC + m2 COL

Substitute the given values into the expression as shown;

m2 ROL= 31°+52°

m2 ROL = 83°

8 0
3 years ago
What is the solution of the system of equations?<br> y = 3x - 4<br> - 3y = -9x + 12
Mrac [35]

Answer:

infinitely many solutions

5 0
3 years ago
What is the inequality of 6x-4&lt;8?
Kobotan [32]
6x - 4 < 8

Add 4 to both sides:
6x < 12

Divide both sides by 6:
x < 2

Answer: x < 2
7 0
3 years ago
02.05) simplify i22. (1 point) 1 −1 −i i
olga2289 [7]
I^22 = i^(20 + 2) = i^20 x i^2 = (i^4)^(5) x (i)^2 = 1 x -1 = -1
7 0
3 years ago
Please help...............
lakkis [162]

Answer:

C' ( -10 , 4)

D' (-10 , 6)

E' (-8 , 6)

F' (-8 , 4)

8 0
3 years ago
Other questions:
  • 1. What is the probability of rolling a number greater than a 4 on a standard dice? Remember to reduce your fraction.
    8·2 answers
  • Which of the following options have the same value as 72% of 50?
    10·2 answers
  • Can anyone help me 12,13,14,15???
    6·1 answer
  • What is the equation of this circle?
    13·1 answer
  • Can someone helpme please​
    10·1 answer
  • !!!PLEASE HELPPP!!!! what is the answer to 4-(9-8)+3
    8·2 answers
  • Three percent of the students at Midwood High School are left-handed. There are 700 students at Midwood High School. How many st
    8·2 answers
  • This diagram shows the dimensions of a concrete piece used to build a deck.
    6·1 answer
  • PLEASE ANSWER DON'T SEND A RANDOM LINK BRAINLIEST
    9·1 answer
  • 2(x+11) = -26 show all work pls
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!