Find `x` , if `(1/4)^(-4)x\ (1/4)^(-8)=(1/4)^(-4x)`

Find x , if (1/4)^(-4)*\ (1/4)^(-8)=(1/4)^(-4x)

(-4)^(-4)xx(-4)^(-1)=(-4)^(x) find x.

Find x if log_(1//sqrt(2)) (1//sqrt(8)) = log_(2)(4^(x) +1). Log(4^(x+1) +4) ,

If x+(1)/(x)=4; Find ( i ) x^(2)+(1)/(x^(2)) (ii) x^(4)+(1)/(x^(4))

lim_(x->a){[(a^(1/2)+x^(1/2))/(a^(1/4)-x^(1/4)))^(- 1)-(2(a x)^(1/4))/(x^(3/4)-a^(1/4)x^(1/2)+a^(1/2)x^(1/4)-a^(3/4))]^(- 1)-sqrt2^(log_4 a)}^8

Factorize 1+x^(4)+x^(8)(ii)x^(4)+4

Solve for x in (4x-1)/(4x+1)+(4x+1)/(4x-1)=(10)/(3)

If x+(1)/(x)=6, find :x^(4)+(1)/(x^(4))

lim_ (x rarr oo) ((x + 1) ^ (4) - (x-1) ^ (4)) / ((x + 1) ^ (4) + (x-1) ^ (4))