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
Akimi4 [234]
3 years ago
7

13Given that log (xy) 3 and log, (x2y3)4Calculate the values of log, x and log, y

Mathematics
1 answer:
Nonamiya [84]3 years ago
8 0
If \ log_q(xy)=3, \ then \ log_qx+log_qy=3 \ . . . . . \ (1) \\ If \ log_q(x^2y^3)=4, \ then \ log_qx^2+log_qy^3=2log_qx+3log_qy=4 \ . . . . . \ (2) \\ From \ (1), \ log_qx=3-log_qy \\ substituting \ for \ log_qx \ in \ (2) \ gives: \\ 2(3-log_qy)+3log_qy=4 \\ 6-2log_qy+3log_qy=4 \\  \\ Therefore, \ log_qy=4-6=-2; \ and \\ log_qx=3-log_qy=3-(-2)=3+2=5
You might be interested in
HELP PLEASEE,<br> What is the value of X in the triangle?
trasher [3.6K]
There is 180 degrees in a triangle. We know two of the angles are 50 degrees. 180-50= 130 which is X.
5 0
3 years ago
Read 2 more answers
Can someone help me find the value of x?
musickatia [10]
47.60514678





What I did was 28 squared plus b squared equals 38.25 squared and ya......
6 0
2 years ago
101 divided by 2 plus 4
kenny6666 [7]

Answer:

54.5

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Need help pls asap ​
Olin [163]

Answer:

D

Step-by-step explanation:

3x+5=2x+5

3 0
3 years ago
PLEASE HELPP!! (10 points)
marishachu [46]

Answer:

D.0.58

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • WILL MARK BRAINLIEST IF RIGHT NEED ASAP!!!! Aril and Dita are wealthy Norwegian business owners who each began making monthly do
    7·1 answer
  • Two types of barrel units were in use in the 1920s in the united states. the apple barrel had a legally set volume of 7056 cubic
    12·1 answer
  • At Lauren's school library, students are allowed to have a balance of no less than -$12 and still check out books. Five days ago
    11·2 answers
  • The function f(t)=-16t^2 +10 models the height (in feet) of an object t seconds after it is dropped from a height of 10 feet on
    10·1 answer
  • Which statement is equivalent to the inequality 14x-14&gt;7x+7
    10·1 answer
  • Can you help my brother with this question 3 pls
    6·1 answer
  • URGENT,PLEASE HELP!!!!!if -2 is the solution of the equation 2x+1-3c=2c+3x-7, find the value of c.​
    13·1 answer
  • What are not a benchmark fraction
    13·1 answer
  • Help please!! im stuck
    8·1 answer
  • 4. The ordered pair (-2,-1) is a solution to which
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!