yhhhwct6d yhhhwct6d

22-12-2019
Mathematics

contestada

If x^4 + y^4 =83x^2y^2 then prove that log (x^2/9-y^2/9)= log x+ logy

Respuesta :

brysontimmy brysontimmy

22-12-2019

Answer:

x^4 + y^4 = 83x^2y^2

x^4+y^4-2x^2y^2= 83x^2y^2

x^4-2x^2y^2+y^4= 81x^2y^2

(x^2-y^2)^2= 81x^2y^2

x^2-y^2= 9xy

log(x^2-y^2)= log(xy)

log(x^2-y^2)= log 9+ logxy

log(x^2-y^2)-log 9= logxy

log (x^2/9-y^2/9)= logy

Answer Link

Otras preguntas

order from least to greatest 0.5, 1/5, 0.35, 12/25, 4/5

Is brick a natural resource?

What were indulgences, as practiced prior to the Reformation?

millie has a box of 1 hundred cubes. she also has a bag of 70 cubes. how many trains of 10 cubes can she make?

please step by step help me solve this problem 3(4d+1)-9d=6(2-d)

Soon after he took office as president, Teddy Roosevelt intervened in the ______________ strike.

write the number that matches the clues my number has 2 hundreds the tens digit is 9 more than the ones digit what is the number

where would we most likely find water in the form of a gas?

The development of small villages into the first cities was known as what revolution

how do you solve 8-(4x+7)=5x+30-2?