UrbanPro
Login Ask & Answer Success Stories Paid Courses Free Classes Tuition & Classes Fees Write a Review All Categories Help Center
Post your Learning Need Signup as a Tutor
✕

Popular Cities

Bangalore

Hyderabad

Delhi

Mumbai

Chennai

Pune

Kolkata

Gurgaon

Ahmedabad

Jaipur

Noida

✕

Take Class 12 Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Book a Free Demo

Class 12 Tuition > Learn Class XI-XII Tuition (PUC) > If log 2 , log (x power 2 - 1) and log (x power 2 +...
✕

Search in

If log 2 , log (x power 2 - 1) and log (x power 2 + 3 ) are in A.P. Then find x?

Asked by Last Modified  

13 Answers

Learn Class XI-XII Tuition (PUC)

Follow 0
Answer

Please enter your answer

Tutor

Given:- log2, log and log are in AP. To find: Values of x satisfying the above relation. Solution:- Step 1 If a,b,c are in AP then b - a = c - b. Step 2 for ease of solving let t=x^2 So, log(t-1) - log2 = log(t+3) - log(t-1) ..........(1) Step 3 log a - log b = log(a/b) applying...
read more
Given:- log2, log[(x^2)-1] and log[(x^2)+3] are in AP. To find: Values of x satisfying the above relation. Solution:- Step 1 If a,b,c are in AP then b - a = c - b. Step 2 for ease of solving let t=x^2 So, log(t-1) - log2 = log(t+3) - log(t-1) ..........(1) Step 3 log a - log b = log(a/b) applying this property to equation (1) log [(t -1)/2] = log [(t+3)/(t-1)]. Step 4 Taking anti-log on both sides, (t-1)/2 = (t+3)/(t-1), Step 5 Cross multiplying (t^2) - 2t + 1 = 2t + 6 taking all terms towards LHS t^2 - 4t -5 = 0 Step 6 Finding roots of this equation t^2 + (-5+1)t + [(-5)*1] = 0 (t-5)*(t+1) = 0 So, t = 5 and t = -1. Step 7 As we assumed before t = x^2 Case 1 t = 5 so x^2 = 5 therefore, x = +sqrt(5) or -sqrt(5) Case 2 t=-1 so x^2 = -1 therefore, x = +i or -i. So final values of x satisfying the above relation are x = +sqrt(5), -sqrt(5), +i, -i. NOTE:- Here sqrt() denotes the square root operation. 'i' denotes sqrt(-1), which is an imaginary number. read less
Comments
Dislike Bookmark

Mathematics for JEE Mains/Advanced, XI & XII (All Boards)

x² = 5
Comments
Dislike Bookmark

GMAT Math Expert

square root 5 and i (square root( -1))
Comments
Dislike Bookmark

Math Educator for Std.11th ,12th , Engineering Entrance and Degree Level with 11+ Years Experience

If a,b,c are in A.P. Then b = a+c/2 , since log 2 , log (x power 2 - 1) and log (x power 2 + 3 ) are in A.P. then log 2 + log (x power 2 + 3 ) / 2 = log (x power 2 - 1) ,after solving , x power 2 = 5 hence, x
Comments
Dislike Bookmark

Math Educator for Std.11th ,12th , Engineering Entrance and Degree Level with 11+ Years Experience

if a,b,c are in A.P. then b = a+c/2 . since log 2 , log (x power 2 - 1) and log (x power 2 + 3 ) are in A.P. then log 2 + log (x power 2 + 3 ) / 2 = log (x power 2 - 1) OR 2 (x power 2 + 3 ) = 2 power (x power 2 - 1) after solving , x power 2 = 5 ,Hence x = log 5
Comments
Dislike Bookmark

Science maker

square root 5 and square root( -1)
Comments
Dislike Bookmark

Specialization in Organic Chemistry. Teaching Chemistry has always been my passion.

X may be +/- Sq. Root of 5 or i, where i is iota.
Comments
Dislike Bookmark

Native English Speaker with 32 years experience in teaching English and communication skills.

+/- root 5
Comments
Dislike Bookmark

Tutor

X =?5
Comments
Dislike Bookmark

Learner

+ root 5 and - root 5 both satisfy all the necessary conditions for the given problem
Comments
Dislike Bookmark

View 11 more Answers

Related Questions

Temporary magnets are used in a.) loud speakers. b.) generators. c.) motors. d.) all of above.
Loudspeaker
Kumar Upendra Akshay
Can we make a machine which break carbon di oxide and make oxygen?
There already is one. We call them trees.
Aamir
1 0
8
The work done in bringing a unit positive charge from infinity to certain point, keeping the unit charge is equilibrium is called __________. (Potential energy, Potential gradient, Electric potential, Electric field intensity)
Electric potential
Narendra Kumar
0 0
7
What is the gravity value at the moon?
gravity value at the moon is about 1.625 m/s2
Raju P
What is daynemo?
A machine for converting mechanical energy into electrical energy, typically by means of rotating coils of copper wire in a magnetic field.
Abdhesh
0 0
8

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Bank Reconciliation Statement
In the given chapter to solve a sum we are given a cash book and another thing is bank pass book. and there is some miss match so we need to come to a conclusion that the same miss match is. We can...
T

Taher Sadikot

0 0
0
Bills of exchange
Bills of exchange is a negotiable instrument. It is drawn by a creditor on the debtor and accepted by the debtor in writing for the amount owed by the debtor to settle it on a specific maturity date. Bills...

Vijayakumar V.

0 0
0
Preparation tips for NEET-UG examination
There is no doubt about the fact that the NEET-UG examination is a tough one. The following tips will help deal with stress and perform better: Know the syllabus of the examination well: The very first...
B

Bidisha Ghosh

0 0
0
How to Pass Entries under GST Regime?
How to Pass Entries under GST Regime: Under the new GST Regime all these taxes (excise, VAT, CST, Service tax, Entry Tax) will get subsumed into one account and assesse will get benefit of setting of...
F

FR Prashanth Reddy

Guarantee Of Profits To A Partner.
Guarantee is an assurance given to the partner of the firm that at least a fixed amount shall be given to him/her irrespective of his/her actual share in profits of the firm. If actual share in profits...

Mahesh Kumar

0 0
1

Recommended Articles

Meet Radhe Shyam Burman, an MBA Tutor from...

Radhe Shyam is a highly skilled accounts and finance trainer with 8 years of experience in teaching. Accounting is challenging for many students and that’s where Radhe Shyam’s expertise comes into play. He helps his students not only in understanding the subject but also advises them on how to overcome the fear of accounts...

Read full article >

Meet Mohammad Wazid, a skilled trainer for...

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

Read full article >

Meet Urmila, an MBBS tutor from Bangalore

Urmila is a passionate teacher with over 8 years of experience in teaching. She is currently pursuing her Ph. D. She provides classes for Class 11, Class 12, MBBS and Medical tuition.  Urmila began her career in teaching long before she became a teacher. She used to provide classes for foreign national students in her college...

Read full article >

Meet Swati, a Hindi Tutor from Bangalore

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

Read full article >

Find Class 12 Tuition near you
Class 12 Tuition in Delhi
Class 12 Tuition in Bangalore
Class 12 Tuition in Hyderabad
Class 12 Tuition in Kolkata
Class 12 Tuition in Mumbai
Class 12 Tuition in Chennai
Class 12 Tuition in Pune
Class 12 Tuition in Jaipur
Class 12 Tuition in Lucknow
Class 12 Tuition in Noida
Online Tuition Class 12

Looking for Class 12 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you
X

Looking for Class 12 Tuition Classes?

The best tutors for Class 12 Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class 12 Tuition with the Best Tutors

The best Tutors for Class 12 Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more

ThinkVidya Learning Pvt Ltd © 2010-2024All Rights Reserved