" If "b=a+a^(2)+a^(3)+..." bo "-" prove that "a=(b)/(1+b)

If b=a+a^(2)+a^(3)+dot oo prove that a=(b)/(1+b)

If b = a+a^2+a^3+..... oo , lal lt1 .Prove that a=b/(1+b)

If b=a+a^2+a^3+ dotoo prove that a=b/(1+bdot)

If a^(2) + b^(2) = 7 ab," prove that " log((a+b)/3) = 1/2 (log a + log b) .

If a^(2) + b^(2) = 7 ab," prove that " log((a+b)/3) = 1/2 (log a + log b) .

If a^(2)+b^(2)=7ab, prove that log((1)/(3)(a+b))=(1)/(2)(log a+log b)

If x = a^(1/3) b^(-1/3) + a^(-1/3) b^(1/3) then prove that a(bx^(3) - 3bx -a) = b^(2)

If a^(3)+b^(3)=ab(8-3a-3b) then prove that :log((a+b)/(2))=(1)/(3)(log a+log b)

If x = a^((1)/(3)) b^((1)/(3)) + a^(-(1)/(3)) + a^(-(1)/(3)) b^((1)/(3)) then prove that a(bx^(3) - 3bx - a) = b^(2)

If 1 , omega , omega^(2) are the cube roots of unity prove that (a + b) ( a omega + b omega^(2))(aomega^(2) + b omega) = a^(3) + b^(3)