Solution:
We can use the following properties of logarithms to simplify the expression:

log a b + log a c = log a bc
log a b – log a c = log a (b/c)
log a b^n = n log a b

Using these properties, we get:

1/2 log10 25 – 2 log10 3 + log10 18
= log10 25^(1/2) – log10 3^2 + log10 18
= log10 5 – log10 9 + log10 18
= log10 (5*18/9)
= log10 10
= 1

Therefore, the value of the expression is 1, which corresponds to option (c).

Explanation:
The expression involves logarithms with different bases and exponents. We need to use the properties of logarithms to simplify the expression and bring it to a form that we can evaluate easily.

We start by using the property log a b^n = n log a b to simplify the first term:

1/2 log10 25 = log10 25^(1/2)

Next, we use the property log a b – log a c = log a (b/c) to simplify the second term:

2 log10 3 = log10 3^2
Therefore, 1/2 log10 25 – 2 log10 3 = log10 25^(1/2) – log10 3^2

Finally, we use the property log a b + log a c = log a bc to simplify the expression further:

log10 5 – log10 9 + log10 18 = log10 (5*18/9)
= log10 10

Therefore, the value of the expression is 1, which corresponds to option (c).