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

Tutor

X =?5
Comments
Dislike Bookmark

Excel Tutor

x=1
Comments
Dislike Bookmark

Trainer

If a, b , c are in AP then 2b = a + c 2 log(x^2 -1) = log 2 + log (x^2 +3) log(x^2 -1)^2 = log (2(x^2 +3) (x^2 -1)^2 = 2 x^2 +6 x^4 -2 x^2 +1 = 2 x^2 +6 x^4 -4 x^2 -5=0 (x^2 -5)(x^2 +1)=0 x= Plus or Minus Sqrt(5)
Comments
Dislike Bookmark

View 11 more Answers

Related Questions

Sir, I completed M.Sc (Maths). I teach Class XI-XII Tuition. How can I teach online?
If you are interested in on line math assignment work please contact me on my skype rajesh.bajoria4
Swapna
Which books best for iit jee-2015 in Mathematics and Physics?
R S Agarwaal and Arihant
Krishna
Find the x and y intercepts of the graph of the equation: 9(square of x) + 4(square of y) = 36?
put x=0 and find the y-intercept. put y=0 and find the x-intercept.
Priyanka
0 0
7
I want to crack NEET. What should I do now? I am in 11th standard.
NEET has syllabus of Class XI and XII. Study class XI subjects with NEET (to clear) as target (and not XI). Similarly when you go to class XII, do it the same way. Start preparing for NEET from to-day.
Sayan
The materials in which valence band and conduction band overlaps are called __________. (Insulators, Conductors, Semiconductors, Superconductors)
Conductors
Narendra Kumar
0 0
6

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

Ask a Question

Related Lessons

Concept of Economics
Economics: Economics in general is about making Choices in the presence of Scarciy. The two words, Choice and Scaricity are important here. Choice involve when there is excess availability and Scarcity...

Amit Wasdev

0 0
0
Class 11th - Maths
Calculate slope of a line(AB) formed by joining the co-ordinates A(-3, 5) and B(4,8)
G

GOODWILL GATE2IIT

0 1
1
ELECTROCHEMISTRY
(a) The process of chemical decomposition of an electrolyte on the passing of electric current through its aqueous solution or in its molten state is known as electrolysis.(b) It involves oxidation...

Chandra Shekar

0 0
0
Flow chart for Provisions relating to Interest on Capital/ How to understand how much interest on Capital to take?
You have to undertake 3 step verification for identification of provisions relating to interest on capital: 1. Is Interest on capital a Charge in the question mentioned; YES- Take full amount of Interest...

Madhura Sagar G.

0 0
0
Learning A Language In A More Natural Way
Hello Everyone, Hope you find this post interesting. Learning a language in a more natural way Explaining situations and learning vocabulary based on the situations. For example, you are hungry and...

Akshata V.

2 0
0

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 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 >

Meet Raghunandan.G.H, a B. Tech Tutor from...

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

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 Lucknow
Class 12 Tuition in Jaipur
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 © 2010-2025 All Rights Reserved