![Trending Articles on Technical and Non Technical topics](/images/trending_categories.jpeg)
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Find value of n if $7^{2n} = 49 \times 7^n$.
Given :
The given expression is $7^{2n} = 49 \times 7^n$.
To do :
We have to find the value of n.
Solution :
We know that,
$a^m + a^n = a^{m+n}$
$7^{2n} = 49 \times 7^n$
$7^{2n} = 7^2 \times 7^n$
$7^{2n} = 7^{2+n}$
Comparing the powers on both sides,
$2n = 2+n$
$2n-n = 2$
$n = 2$.
The value of n is 2.
Advertisements