Question

if X square + Y square equal to 25 x y then prove that 2 log into X + Y = 3 log 3 + log x + log y​

Answer 1

Answer:

Step-by-step explanation:

x²+y²=25xy

adding 2xy on both sides

x²+y²+2xy=27xy

[x+y]²=27xy

taking log on both sides

log[x+y]²=log27xy

2log[x+y]=log3³+log x+log y

2 log[x+y]=3log3+logx+logy

Answer 2

Answer:

2log(X+y)=3log3+logx+logy

Step-by-step explanation:

Given x^2+y^2=25xy

Now,L.H.S=2log(X+y)

=log(X+y)^2

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

=log(25xy+2xy)

=log(27xy)

=log27+logx+logy

=log3^3+logx+logy

=3log3+logx+logy

=R.H.S

Therefore,L.H.S=R.H.S