If `a!=1` and in `lna^2 + (ln a^2)^2 +...........=3(lna+(lna)^2+(lna)^3+...........) `then `a` equal to

If a!= 1 and In a^2 + (In a^2)^2 + (In a^2)^3 + ... = 3 (ln a + (lna)^2 + (lna)^3 + (lna)^4+...) then 'a' is equal to

If a!=1 and In a^(2)+(In a^(2))^(2)+(In a^(2))3+...=3(ln a+(ln a)^(2)+(ln a)^(3)+(ln a)^(4)+...) then 'a' is equal to

If a!=1 and ln a^(2)+(ln a^(2))^(2)+(ln a^(2))^(3)+...=3(ln a+(ln a)^(2)+(ln a)^(3)+(ln a)^(4)+......) then a is equal to

int a^(x) lna dx

If log_(2)[log_(3)(log_(2)x)]=1 , then x is equal to

1+ 2 (log_ea)+(2^2)/(2!) (log_ea)^2 +(2^3)/(3!) (log_e a)^3+...=

If 5^(3x^(2)"log"_(10)2) = 2^((x + (1)/(2))"log"_(10) 25) , then x equals to

If 5^(3x^(2)"log"_(10)2) = 2^((x + (1)/(2))"log"_(10) 25) , then x equals to