Knowing that logarithm functions and exponential functions are inverse to each other, the procees to convert a logarithmic equation to its equivalent is to perform all the operations to set an equation of the typ:

,
then invert to show it equivalent form:

.
With that you have solved the equation for x.
To get t on one side, we have to use inverse operations to get rid of the 5.
1. Use inverse operation of multiplication to get rid of 5. Which would be division.
2. Divide both sides by 5.
5t/5 = 7 1/2 / 5
3. Solve.
5t/5 = t and 7 1/2 /5 = 1 1/2
7.5 / 5 = 1.5
Therefore, your answer would be C. divide both sides by 5, and the answer is 1 1/2.
A + (b + c) = (a + b) + c.....what u have here is the associative property of addition