The value of `log_(a)1+log_(2)2^(2) + log_(3)3^(3)` (where a is a positive number and `a ne 1`) is ______.

The value of x, log_(1/2)x >= log_(1/3)x is

The value of 1-log_(e)2+(log_(e)2)^(2)/(2!)-(log_(e)2)^(3)/(3!)+.. is

The value of 1-log_(e)2+(log_(e)2)^(2)/(2!)-(log_(e)2)^(3)/(3!)+.. is

log_(2)(x+1)-log_(2)(3x-1)=2

Compute the value of 1/(log_(2)36)+ 1/(log_(3)36) .

log_(2)(3-x)+log_(2)(1-x)=3

The value of x,log_((1)/(2))x>=log_((1)/(3))x is

Let m be the minimum possible value of log_(3)(3^(y_(1))+3^(y_(2))+3^(y_(3))) . Where y_(1),y_(2),y_(3) are real number for which y_(1)+y_(2)+y_(3)=9 Let M be the maxmum possible value of (log3x_(1)+log_(3) x_(2)+ log_(3) x_(2)) where x_(1), x_(2), x_(3) are positive real numbers for whcih x_(1)+x_(2)+x_(3)=9 then the value of log_(2)m^(3)+log_(3)(M^(2)) is _____

The number of solution of log_(4)(x-1) = log_(2)(x-3) is