Seudónimo Seudónimo
  • 02-12-2020
  • Mathematics
contestada

if x²+y²=6xy then prove that 2log(x+y)=logx+logy+3log2​

Respuesta :

Аноним Аноним
  • 02-12-2020

Answer:

Given that

x² + y² = 6xy

or, (x + y)² - 2xy = 6xy

or, (x + y)² = 8xy

or, (x + y)² = 2³xy

Taking (log) in both sides, we get

log (x + y)² = log (2³xy)

or, 2 log (x + y) = log (2³) + logx + logy

or, 2 log (x + y) = 3 log2 + logx + logy

Hope this helps :D

Answer Link

Otras preguntas

The maximum weight for a truck on new york state thruway is 40 tons.how many pounds is this?
3/11 of what number is 12
Simplify -|-7+4| I don’t know how
General Sherman, a tree located in Sequoia National Park, stands 275 feet tall. To see the top of the tree, Carlos looks up at a 11° angle of elevation. If C
simplify [tex]\sqrt{-90
Via fell asleep, too, and Mom and Dad talked quietly about grown-up things I didn't care about. Why is "too" used in this sentence instead of "to" or "two"?
Between the shaft and the head, children have a cartilaginous growth zone called the ________?
(50 POINTS) Which of the following represents the graph of f(x) = 2(x + 3)? a. Graph begins in the second quadrant near the line y equals negative 3 and increa
what is 75% of 36 briefly explained?
Name the principal pollutants that contribute to acid rain, and the main source of each