Solve the following equations for `x\ :` `(i)\ 4^(2x)=1/(32)\ (ii)4^(x-1)\ xx\ (0. 5)^(3-2x)=(1/8)^x(iii)2^(3x-7)=256`

Solve the following equations: 2^(x-5)=256 (ii) 2^(x+3)=4^(x-1)

solve for x,4^(x-1)xx(0.5)^(3-2x)=((1)/(8))^(-x)

Solve the following equations for x:7^(x+3)=1 (ii) 2^(x+1)=4^(x-3)2^(5x+3)=8^(x+3)

Solve the following equation. (x+1)/4+(x+2)/2=(x-3)/2+(x-1)/3

Solve for following equations for x:(i)5^(2x+3)=1(ii)(sqrt((3)/(5)))^(x+1)=(125)/(27)

Solve the following equations: (i) 3^(x+1)=27 xx 3^4 (ii)4^(2x)=(16 3)^(-6/y)=(sqrt(8))^2 (iii) 3^(x-1) xx 5^(2y-3)=225 (iv) 8^(x+1)=16^(x+2) and, (v) (1/2)^(3+x)=(1/4)^(3y) 4^(x-1) xx (0. 5)^(3-2x)=(1/8)^x sqrt(a/b)=(b/a)^(1-2x ) , where a , b are distinct positive primes.

Solve the following equations : (i) |x-2| = sqrt(x-4) , (ii) (|x-2|)/(x-1) = 1/(x-1)

Solve the equation for x:4^(2x)=(1)/(32) (ii) sqrt(((3)/(5))^(1-2x))=4(17)/(27)

Solve the equation for x:x^(5)+x^(4)+x^(3)+x^(2)+x+1=0

Solve the following equations (i) sgn({[x]})=0 (ii) sgn(x^(2)-2x-8)=-1 (iii)sgn((x^(2)-5x+4)/({x}))=-1