log_(3sqrt(2))(324=?

Evaluate the following : log_(3sqrt2) 324

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)))

Prove that: log_(3)log_(2)log_(sqrt(5))(625)=1

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.....

Determine the value of log_(3sqrt(2))((1)/(18))* a.2b .-2c.sqrt(2)d.sqrt(3)

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

The value of 2(log_(sqrt(2)+1)sqrt(3-2sqrt(2))+log_((2)/(sqrt(3+1)))(6sqrt(3)-10)) is