Find the value of `x` in each of the following: `(i)\ 5^(2x+3)=1` `(ii)\ (13)^(sqrt(x))=4^4-3^4-6` `(iii)\ (sqrt(3/5))^(x+1)=(125)/(27)`

Find the value of x in each of the following: 5^(2x+3)=1 (ii) (13)^(sqrt(x))=4^(4)-3^(4)-6(sqrt((3)/(5)))^(x+1)=(125)/(27)

Find x, if : (sqrt((3)/(5)))^(x+1)=(125)/(27)

Find the value of x in each of the following: (i)\ (3/5)^x\ (5/3)^(2x)=(125)/(27) \(ii)\ 5^(x-2)\ xx\ 3^(2x-3)=135

Find the value of x in each of the following cases : (i) 3^(2x+3)=1" "(ii)2^(x-5)xx5^(x-4)=5 (iii)2^(2x+1)=2^(2x-1)+12" "(vi)3^(2x-3)=3sqrt(3)

Find the value of x in each of the following cases : (i) 3^(2x+3)=1" "(ii)2^(x-5)xx5^(x-4)=5 (iii)2^(2x+1)=2^(2x-1)+12" "(vi)3^(2x-3)=3sqrt(3)

Find the value of x in each of the following: ((3)/(5))^(x)((5)/(3))^(2x)=(125)/(27) (ii) 5^(x-2)x3^(2x-3)=135

Find the domain of each of the following real fuctions: (i) f(x)=sqrt(x-3) (ii) g(x)=sqrt(4-x^(2)) (iii) h(x)=(1)/(sqrt(1-x)) .

Find the value of a and b in each of the following (i)(3+sqrt(2))/(3-sqrt(2))=a+bsqrt(2)" "(ii)(sqrt(2)+1)/(sqrt(2)-1)=a-bsqrt(2)" "(iii)(5+4sqrt(3))/(5-4sqrt(3))=a-bsqrt(3)

Find the value of a and b in each of the following (i)(3+sqrt(2))/(3-sqrt(2))=a+bsqrt(2)" "(ii)(sqrt(2)+1)/(sqrt(2)-1)=a-bsqrt(2)" "(iii)(5+4sqrt(3))/(5-4sqrt(3))=a-bsqrt(3)