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kaliprasad
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Find natural numbers a and b such that $2^a-3^b = 7$
Bacterius said:By observation, $2^4 - 3^2 = 7$.
kaliprasad said:Answer is right but I want solution
Bacterius said:This is a solution, I've shown a pair $(a, b)$ in natural numbers which satisfies your challenge. Do you mean you want it derived analytically along with a proof that there is only one (or more, I don't know) such pair(s)? :p
A solution in natural numbers refers to a set of numbers that satisfy a given equation, equation system, or inequality. These numbers are typically positive whole numbers (1, 2, 3, etc.) but can also include 0.
To find a solution in natural numbers, you must first identify the equation or inequality and its variables. Then, you can use algebraic techniques such as substitution, elimination, or graphing to solve for the values of the variables that satisfy the given equation or inequality.
No, a solution in natural numbers cannot be negative. Natural numbers only include positive whole numbers and 0, so any solution must be within that range. If a negative number is obtained during the solving process, it means that the solution is not in natural numbers.
Finding solutions in natural numbers is important because it allows us to solve real-world problems and make practical applications. Natural numbers represent quantities and counts, so solutions in natural numbers are more meaningful and applicable in real-life scenarios.
Solutions in natural numbers are commonly used in fields such as mathematics, physics, engineering, and economics. They can be used to solve problems related to counting, measurement, optimization, and more. Some examples include calculating the number of objects in a group, finding the optimal route for a delivery truck, or determining the minimum cost for a manufacturing process.