Can this equation be solved using integer numbers?

In summary, integer numbers are whole numbers that do not have any fractional or decimal parts. They can be solved using basic math operations or algebraic equations and can also be represented on a number line. Equations with only integer numbers can be solved using the same methods as equations with other types of numbers. The difference between integer solutions and non-integer solutions is that integer solutions are whole numbers while non-integer solutions include fractions or decimals. To check if a solution is an integer number, you can substitute it back into the original equation and see if it satisfies the equation.
  • #1
oszust001
10
0
How to solve that eqation?
3^x=4y+5
 
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  • #2
Express one variable in terms of the other (see which makes most sense). What are the conditions for having integer solutions?
 
  • #3
That is the same as saying that [itex]3^x= 1[/itex] (mod 4). Check out "Fermat's Little Theorem".
 
  • #4
Ok, but how can I show that this equation can be saying like that you wrote? If I place for 3^x=1(mod 4) to top equation and from Fermat's little theorem I have x=3 than I have equation with one variable? That you thought about?
 

1. What are integer numbers?

Integer numbers are whole numbers, both positive and negative, that do not have any fractional or decimal parts. They can be represented on a number line and are used in many mathematical operations.

2. How do you solve for integer numbers?

To solve for integer numbers, you can use basic math operations such as addition, subtraction, multiplication, and division. You can also use algebraic equations and properties to solve for unknown values.

3. Can you solve equations with only integer numbers?

Yes, equations with only integer numbers can be solved using the same methods as equations with other types of numbers. However, some equations may require the use of fractions or decimals to find the exact solution.

4. What is the difference between integer solutions and non-integer solutions?

Integer solutions are whole numbers that satisfy an equation or inequality, while non-integer solutions include fractions or decimals. For example, the equation 2x + 3 = 7 has an integer solution of x = 2, but a non-integer solution of x = 1.5.

5. How can you check if a solution is an integer number?

To check if a solution is an integer number, you can substitute it back into the original equation and see if it satisfies the equation. If the solution results in a whole number, then it is an integer solution.

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