`(log_3 243)/(log_2sqrt(32))`

the value of log_(3)(log_(2)(log_(sqrt(3))81))

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

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

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

Prove that log_(2)log_(2)log_(sqrt(3))81=1

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)

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)

Express the following in exponential form: a) log_(2)32=5 b) log_(sqrt(2))4=4 c) log_(10)0.01=-2

Express the following in exponential form: a) log_(2)32=5 b) log_(sqrt(2))4=4 c) log_(10)0.01=-2

Solve log_(x)3+log_(3)x=log_(sqrt(3))x+log_(3)sqrt(x)+(1)/(2)