`log_(3sqrt(2))324`

Evaluate the following : log_(3sqrt2) 324

If x=(2)^((log_(2)3log_(3)4log_(4)5)......log_(19)20),y=5^(log_(2)3)-3^(log_(2)5),z=log_(sqrt(256))sqrt(log_(sqrt(2))4) then value of (x+y).z is

If A=log_(sqrt(3))(sqrt(3sqrt(3sqrt(3sqrt(3)))))* then the value of log_(sqrt(2))(8A+1) is equal to

If log_(sqrt(3))5=a and log_(sqrt(3))2=b then value of log_(sqrt(3))300 is

4^(5 log_(4sqrt(2)) (3-sqrt(6)) - 6 log_8(sqrt(3)-sqrt(2)))

evaluate 5^(log_((1)/(3))((1)/(2)))+log_(sqrt(2))((4)/(sqrt(7)+sqrt(3)))+log_((1)/(2))((1)/(10+2sqrt(21)))

If log_(sqrt(3))5=a and log_(sqrt(3))2=b , then log_(sqrt(3))300 is equal to a) 2(a+b) b) 2(a+b+1) c) 2(a+b+2) d) a+b+4

5^(log_((1)/(5))((1)/(2)))+log_(sqrt(2))((4)/(sqrt(7)+sqrt(3)))+log_((1)/(2))((1)/(10+2sqrt(21)))

The value of 5^(log_((1)/(5))((1)/(2)))+log_(sqrt(2))(4)/(sqrt(7)+sqrt(3))+log_((1)/(2))(1)/(10+2sqrt(21)) is.....