Q. 1053.6( 7 Votes )

If 53x–1 ÷ 25 = 125, find the value of x.

Answer :

Given that, 53x–1 ÷ 25 = 125


25 = 5 × 5 = 52 and 25 = 5 × 5 × 5 = 53


53x–1 ÷ 52 = 53


Using the law of exponent,


53x-1-2 = 53


53x-3 = 53


Comparing both sides,


3x-3 = 3


3x = 6


x = 2


the value of x is 2


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Mastering Powers and ExponentsQuiz | Mastering Powers and ExponentsQuiz | Mastering Powers and Exponents45 mins
Genius Quiz | Powers and ExponentsGenius Quiz | Powers and ExponentsGenius Quiz | Powers and Exponents27 mins
Smart Revision | Learning the Laws on ExponentsSmart Revision | Learning the Laws on ExponentsSmart Revision | Learning the Laws on Exponents50 mins
NCERT | Laws of ExponentsNCERT | Laws of ExponentsNCERT | Laws of Exponents25 mins
QUIZ | Exponents and PowerQUIZ | Exponents and PowerQUIZ | Exponents and Power35 mins
Smart Revision | Standard Form of ExponentsSmart Revision | Standard Form of ExponentsSmart Revision | Standard Form of Exponents50 mins
Quiz | Powers and ExponenntsQuiz | Powers and ExponenntsQuiz | Powers and Exponennts43 mins
Champ Quiz | Power and ExponentsChamp Quiz | Power and ExponentsChamp Quiz | Power and Exponents31 mins
Master Exponents & PowerMaster Exponents & PowerMaster Exponents & Power37 mins
Advance Problems in Exponents & PowerAdvance Problems in Exponents & PowerAdvance Problems in Exponents & Power40 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses