Exponent and Logarithm Help!!!

Question

So im doing a math review for my SAT test the problem is:

If s = t 1/2gt² then log t equals to

a.) log s - log 2 - log g

b) log (s/g)

c) 1/2 (log s + log 2 - log g)

d) log (sg)

PS. Online course is hard!!!

Answer 1

s = 1/2gt², then logs = log(1/2gt²) = log(1/2) + logg + logt² = - log2 + logg + 2logt.

From here logt = 1/2(logs + log2 - logg).

Answer is c)