A question includes logarithm and trigonometry. Could anybody help me to solve this, please?

Condense the logarithms on the left side:

Recall the double angle identity for sine, :

Write both sides as powers of 2:

Simplify this:

Solve for :

(where is any integer)

Recall that :

Solve for :

We get solutions in the interval when , giving

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.