Prove that `log_3log_2log_(sqrt3) 81=1`

Prove that: log_3log_2log_(sqrt(5))(625)=1

Prove that log_2log_2log_(2) 16 =1

Prove that (log_(2)8)/(log_(3)9) =3/2

Prove that log(1+2+3)=log1+log2+log3

If P =3^sqrt(log_(3)2)-2^(sqrt(log_(2)3))and Q=log_(2)log_(3)log_(2)log _(sqrt(3))81, then

Prove that log_(7) log_(7)sqrt(7sqrt((7sqrt7))) = 1-3 log_(7) 2 .

If log_(a) 3 = 2 and log_(b) 8 = 3," then prove that "log_(a) b= log_(3) 4 .

Which of the following when simplified reduces to unity? (log)_(3/2)(log)_4(log)_(sqrt(3))81 (log)_2 6+(log)_2sqrt(2/3) -1/6(log)_(sqrt(3/2))((64)/(27)) (d) (log)_(7/2)(1+2-3-:6)

Prove that: (log_9 11)/(log_5 3) = (log_3 11)/(log_sqrt(5) 3).

Prove that log_(3) 81- 4 =0