Select Goal &
City
Select Goal
Explore
Question:
Consider the equation, \(log_5(x-2) = 2log_{25}(2x-4)\) where x is a real number.
For how many different values of x does the given equation hold?
Consider the equation, \(log_5(x-2) = 2log_{25}(2x-4)\) where x is a real number.
For how many different values of x does the given equation hold?
For how many different values of x does the given equation hold?
Updated On: Sep 16, 2024
- 0
- 1
- 2
- 4
- Infinitely many
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The Correct Option is (A): 0
Was this answer helpful?
0
0
Top Questions on Logarithms
- The value of \(log_2 32\) is
- For some positive real number \(x\) , if \(log_{\sqrt 3}(x)+\frac{log_x(25)}{log_x(0.008)}=\frac{16}{3}\), then the value of \(log_3(3x^2)\) is
- For a real number \(x\) , if \(\frac{1}{2},\frac{log_3(2^x-9)}{log_34}\), and \(\frac{log_5\bigg(2^x+\frac{17}{2}\bigg)}{log_54}\) are in an arithmetic progression, then the common difference is
- If \(x\) and \(y\) are positive real numbers such that \(log_x(x^2+12)=4\) and \(3\;log_yx=1\),then \(x+y\) equals
- If \(log\ x = log\ 4.8 - log\ 1.6\) and \(log\ y = log\ 4.6 - log\ 2.3\). Find \(x+y\).
View More Questions
Questions Asked in XAT exam
- A local restaurant has 16 vegetarian items and 9 non-vegetarian items in their menu. Some items contain gluten, while the rest are gluten-free.
One evening, Rohit and his friends went to the restaurant. They planned to choose two different vegetarian items and three different non-vegetarian items from the entire menu. Later, Bela and her friends also went to the same restaurant: they planned to choose two different vegetarian items and one non-vegetarian item only from the gluten-free options. The number of item combinations that Rohit and his friends could choose from, given their plan, was 12 times the number of item combinations that Bela and her friends could choose from, given their plan.
How many menu items contain gluten?- XAT - 2024
- permutations and combinations
- Which of the following Indian states does the River Ganges not flow through?
- XAT - 2024
- Static GK
- FS food stall sells only chicken biryani. If FS fixes a selling price of Rs. 160 per plate, 300 plates of biriyani are sold. For each increase in the selling price by Rs. 10 per plate, 10 fewer plates are sold. Similarly, for each decrease in the selling price by Rs. 10 per plate, 10 more plates are sold. FS incurs a cost of Rs. 120 per plate of biriyani, and has decided that the selling price will never be less than the cost price. Moreover, due to capacity constraints, more than 400 plates cannot be produced in a day.
If the selling price on any given day is the same for all the plates and can only be a multiple of Rs. 10, then what is the maximum profit that FS can achieve in a day?- XAT - 2024
- Profit and Loss
- Claudia Dale Goldin was awarded the Nobel Prize in Economics in 2023 in recognition of her groundbreaking research in the field of:
- XAT - 2024
- Economics
- Which of the following governors-general of India introduced the policy of “doctrine of lapse?"
- XAT - 2024
- History
View More Questions
XAT Notification
XAT 2025 Mock Test on Sept 25, Registration open till Sept 22.Sep 16, 2024The Xavier Aptitude Test (XAT) has officially scheduled its mock test for September 25, 2024. The last date to register for XAT 2025 Mock Test is September 22, 2024.
SUBSCRIBE TO OUR NEWS LETTER
COLLEGE NOTIFICATIONSEXAM NOTIFICATIONSNEWS UPDATES
Download the Collegedunia app on 
© 2024 Collegedunia Web Pvt. Ltd. All Rights Reserved