menu
Qammunity
Login
Register
My account
Edit my Profile
Private messages
My favorites
Ask a Question
Questions
Unanswered
Tags
Categories
Ask a Question
Find the minimum of $x-y$ among all ordered pairs of real numbers $(x, y)$, $x$ and $y$ between 0 and 1, where there exists a real number $a \\eq 1$ such that \[ \log_{x}a + \log_{y}a = 4\log_{xy}a. \]
asked
Aug 3, 2019
58.9k
views
3
votes
Find the minimum of $x-y$ among all ordered pairs of real numbers $(x, y)$, $x$ and $y$ between 0 and 1, where there exists a real number $a \\eq 1$ such that \[ \log_{x}a + \log_{y}a = 4\log_{xy}a. \]
Mathematics
high-school
Kemakino
asked
by
Kemakino
8.1k
points
answer
comment
share this
share
0 Comments
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
1
Answer
4
votes
The solution is on the added picture
Karim Pazoki
answered
Aug 8, 2019
by
Karim Pazoki
8.1k
points
ask related question
comment
share this
0 Comments
Please
log in
or
register
to add a comment.
← Prev Question
Next Question →
Related questions
asked
Oct 19, 2019
161k
views
Real numbers $x$ and $y$ satisfy the equation $x^2 + y^2 = 10x - 6y - 34$. What is $x+y$?
Taylrl
asked
Oct 19, 2019
by
Taylrl
8.4k
points
Mathematics
college
1
answer
4
votes
161k
views
asked
Mar 18, 2021
16.7k
views
Let $x$ be the smallest multiple of $11$ that is greater than $1000$ and $y$ be the greatest multiple of $11$ less than $11^2$. Compute $x - y$.
James Jeffery
asked
Mar 18, 2021
by
James Jeffery
7.3k
points
Mathematics
college
2
answers
1
vote
16.7k
views
asked
Apr 23, 2021
94.7k
views
If $a$ is the $x$-intercept, $b$ is the $y$-intercept, and $m$ is the slope of the line with equation $\frac{x}4 + \frac{y}{12} = 1$, then what is the value of $a + b + m$?
Isac Moura
asked
Apr 23, 2021
by
Isac Moura
7.9k
points
Mathematics
high-school
2
answers
4
votes
94.7k
views
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.
9.4m
questions
12.2m
answers
Other Questions
How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement how thick must the cement be to cover field
Twitter
WhatsApp
Facebook
Reddit
LinkedIn
Email
Link Copied!
Copy
Search Qammunity