Problem 2250. Given a number find two variables

Created by Reza Ahmadzadeh

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If the input is x, find a and b from the following equation: x = a*2^b.

Hint: b is an integer while x and a are real numbers.

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Last Solution submitted on Aug 27, 2025

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William on 11 Apr 2014

The solutions to this equation are not unique. Based on the requirements given there is an entire solution space for each possibility. For example 1.024E4*2^-10 = 10 but that is not a valid answer. Basically there is a degree of freedom issue here.

bainhome on 23 Jun 2015

agree,solutions is way way more than one.

William on 14 Feb 2016

b=0. a=x.

Rafael S.T. Vieira on 28 Aug 2020

Brute-force on b, while looking for solutions with a restricted to the interval [-1,1] works. And I agree there is more than one solution. The author should specify what is the interval for valid solutions or accept more than one valid answer (which is easy to verify).

Dyuman Joshi on 23 Feb 2022

Just a heads up - OP expects solvers to use a particular function

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Problem 2250. Given a number find two variables

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Last 200 Solutions

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Problem Recent Solvers56

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Problem 2250. Given a number find two variables

Solution Stats

Last 200 Solutions

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Solution Comments

Problem Recent Solvers56

Suggested Problems

More from this Author11

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