263 Views

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.

Related Questions

Amity University, Noida Law A...
Apply
700+ Campus placements at top national and global law firms, corporates and judiciaries
Amity University, Noida BBA A...
Apply
Ranked amongst top 3% universities globally (QS Rankings)
VIT Bhopal University | M.Tec...
Apply
M.Tech admissions open @ VIT Bhopal University | Highest CTC 52 LPA | Apply now
Amity University | M.Tech Adm...
Apply
Ranked amongst top 3% universities globally (QS Rankings).
Graphic Era (Deemed to be Uni...
Apply
NAAC A+ Grade | Among top 100 universities of India (NIRF 2024) | 40 crore+ scholarships distributed
Great Lakes PGPM & PGDM Admis...
Apply
Admissions Open | Globally Recognized by AACSB (US) & AMBA (UK) | 17.3 LPA Avg. CTC for PGPM 2024
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books