Solve:
`(log x+log x^(4)+log x^(9)+...+log x^(n^(2)))/(log x+log x^(2)+log x^(3)+...+log x^(n))`

(log x)^(log x),x gt1

Solve : 7^(log x)=98-x^(log 7)

Solve for x: log_(4) log_(3) log_(2) x = 0 .

Solve (log)_x2(log)_(2x)2=(log)_(4x)2.

Solve for x : 3^(log x)-2^(log x) =2^(log x+1)-3^(log x-1)

Solve for x : (i) (log 81)/(log 27) = x (ii) (log 128)/(log 32) = x (iii) (log 64)/(log 8) = log x (iv) (log 225)/(log 15) = log x

State, true or false : (i) log 1 xx log 1000 = 0 (ii) (log x)/(log y) = log x - log y (iii) If (log 25)/(log 5) = log x , then x = 2 (iv) log x xx log y = log x + log y

Solve : log_(3)x . log_(4)x.log_(5)x=log_(3)x.log_(4)x+log_(4)x.log_(5)+log_(5)x.log_(3)x .

Solve for x : log(x - 1) + log(x + 1) = log_(2)1 .

Evaluate : int [ log (log x) +(1)/((log x)^(2)) ] dx