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Find tha some of the values of x and y satisfying the equations 3^x-4^y=77 and 3^x/2-2^y=7


Anil bannikopp 9th Dec, 2020
Answer (1)
ojaswiyolo Student Expert 9th Dec, 2020

Hello

In such questions you cana lways go for hit and try. Looking at the second equation I  can assume that the easiest value starting from 1 for which it is easy to do x/2 is 4.If x is 4 then 36x/2 has to be 9. Now 9 - what will give 7? The answer is 2 (or 261). Hence X is four while Y is one. To confirm this putting X and Y as 4 and 1 in the first equation satisfies the condition.

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