What is logarithm of `32^5sqrt(4)` to the base `2sqrt(2)?`

Find the logarithm of 324 to the base 3sqrt 2

Find the logarithm of 1728 to the base 2sqrt3 .

. Logarithm of 144 to the base 2sqrt3 is

If the logarithm of 324 to base a is 4, then find a .

The sum of the first n terms of the series 1/(sqrt(2) + sqrt(5)) + 1/(sqrt(5) + sqrt(8)) + 1/(sqrt(8) + sqrt(11)) +... is

If one root x^2-x-k=0 is square of the other, then k= a. 2+-sqrt(5) b. 2+-sqrt(3) c. 3+-sqrt(2) d. 5+-sqrt(2)

The length of the chord of the parabola y^2=x which is bisected at the point (2, 1) is (a) 2sqrt(3) (b) 4sqrt(3) (c) 3sqrt(2) (d) 2sqrt(5)