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

A line passes through the points (2,-2) and (-6, 2). The point (a, -4) is also one the line. What is the value of a
Atmospheric scientists study weather patterns. А. True B. False
On an international​ exam, students are asked to respond to a variety of background questions. For the 41 nations that participated in the​ exam, the correlatio
What is the purpose of feeling pain?​
How did Great Britain aid Germany’s industrial development?
Suppose that the Federal Reserve purchases a bond for $100,000 from Reggie Rich, who deposits the proceeds in the Manufacturer’s National Bank.Initially, as a r
PLEASE ANSWER QUICKLY!!! How are various mine sites rehabilitated? How does this contribute to the responsible use of natural resources?
What was the purpose of the Congress of Vienna?
Which expression is a perfect cube?
Please help Solve 5x + 2 ⪯ 8