1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
netineya [11]
3 years ago
14

Xy=80 solve log x- log y=1

Mathematics
1 answer:
Basile [38]3 years ago
6 0

Question: Solve for x and y in the equation.

xy=80 and log x - 2 log y =1

Answer:

x = 40, y = 2

Step-by-step explanation:

xy = 80.......................... Equation 1

logx-2logy = 1

logx-logy² = 1

Applying the laws of logarithm,

log(x/y²) = log10

x/y² = 10

x  = 10y²......................... Equation 2

Substitute the value of x in therms of y equation 2 into equation 1

10y²(y) = 80

10y³ = 80

y³ = 8

y = \sqrt[3]{8}

y = 2.

Substitute the value of y into equation 1

2x = 80

x = 80/2

x = 40

Therefore,

x = 40, y = 2

You might be interested in
What is the answer in need of help ask me some math questions and I got the answer
Kruka [31]
I am not sure but I think the answer is B.
3 0
3 years ago
PLEASE HELP SOON. i have been stuck on this algebra 1 question for what feels like an eternity can someone please help and soon?
-Dominant- [34]
You are trying to find an x-value for which f(x) = g(x).  At first your choice of x is arbitrary.  In the given table, the first x-value tried was 0 (zero).  For this value of x, f(x) does NOT equal g(x).

Next x was 1.  f(x) and g(x) are even further apart here.  So reject 1 and try 2 instead.  Notice how f(x) and g(x) are closer together now than they were for x=1.

Note that for x=2.5, f(x) and g(x) are even closer together; ony 0.75 separates them.   

Your turn.  Try x=2.4, x=2.3, and so on.  You may have to go in the other direction:  Try x=2.6, x=2.7, and so on.  If f(x) and g(x) are getting closer to one another, you're going in the right direction; if further apart, you're going in the wrong direction.  

Have fun.  This really is an interesting problem.
6 0
3 years ago
one positive integer is 2 less than another. The product of the two integers is 24. what are the two integers?
irinina [24]

If one is positive we can conclude that the other is also positive

Positive*positive=positive(24)

The product of the two numbers is 24

And the smaller number is less than the greater number by 2

Factors of 24=1*24,2*12,3*8,4*6.

The only pair with the diffrence of two is 4*6

Therefore the two integers are 4 and 6

4 0
3 years ago
Which of the following is NOT a prime number?<br><br> A. 3163<br> B. 1057<br> C. 157<br> D. 263
Ahat [919]
B, 1057 is not prime.
8 0
4 years ago
Read 2 more answers
Need help with this problem:
arlik [135]

Answer:

843 days

Step-by-step explanation:

7 0
4 years ago
Other questions:
  • I need help ASAP! Can someone please help me?
    11·1 answer
  • Brittany has 50 beads. 70% of the beads are gold. How many beads does Brittany have?
    12·1 answer
  • How do you find the answer 9% of $10
    5·2 answers
  • What is the median for 2 6 7 8 2
    10·1 answer
  • What is the first quartile of 10, 12, 19, 20, 24, 26, 30, 31, 34, 36
    12·1 answer
  • Factor completely x2 + 8x - 20
    6·2 answers
  • Solve the following equation to determine the value of x: 3x + (x + 10) + 5x + (2x + 2) = 56
    15·1 answer
  • Millilitre are used to measure the large amount of volume
    10·1 answer
  • Given the points (2, 4) &amp; (-1,-5), what is the equation of the line?
    7·1 answer
  • (x^2y+e^x)dx-x^2dy=0
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!