253 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
UPES Integrated LLB Admission...
Apply
Ranked #28 amongst Institutions in India by NIRF | Ranked #1 in India for Academic Reputation by QS University Rankings | 16.6 LPA Highest CTC
Great Lakes PGPM & PGDM 2025
Apply
Admissions Open | Globally Recognized by AACSB (US) & AMBA (UK) | 17.3 LPA Avg. CTC for PGPM 2024 | Application Deadline: 1st Dec 2024
ISBR Business School PGDM Adm...
Apply
250+ Companies | Highest CTC 16 LPA | Average CTC 8 LPA | Ranked as Platinum Institute by AICTE for 6 years in a row | Awarded Best Business School...
Chandigarh University Admissi...
Apply
Ranked #1 Among all Private Indian Universities in QS Asia Rankings 2025 | Scholarships worth 210 CR
ICFAI-LAW School BA-LLB / BBA...
Apply
Ranked 1 st among Top Law Schools of super Excellence in India - GHRDC | NAAC A+ Accredited | #36 by NIRF
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