An equation of the form `l a^(f(x)) + m b^(f(x)) + c =0`

An equation of the form a^(f(x))=1

An equation of the form f(a^(x))=0

An equation of the form a^(f(x))+b^(f(x))=c

An equation of the form (f(x))^(g(X))

An equation of the form (a-f(x))^((1)/(n))+(b+f(x))^((1)/(pi))=g(x)

An equation of the form (f(x))^((1)/(2n))=g(x) equivalent to the system g(x)>=0;f(x)=g^(2n)(x)

Find a function of the form f(x)=a+bc^(x) (c gt 0) if f(0)=15, f(2)=30, f(4)=90

Let f(x)=ax^(2)+bx+c, where a,b,c,in R and a!=0, If f(2)=3f(1) and 3 is a roots of the equation f(x)=0, then the other roots of f(x)=0 is