Final answer:
The correct option for simplifying expressions involving logarithms using their properties is b) Properties of logarithms, which includes rules for products, quotients, and exponents.
Step-by-step explanation:
The process that helps simplify expressions involving logarithms using their properties is properties of logarithms. These properties are pivotal in manipulating and simplifying logarithmic expressions to solve various mathematical problems. For instance, the logarithm of a product is the sum of the logarithms of the individual numbers (log xy = log x + log y). Similarly, the logarithm of a quotient (the division of two numbers) is the difference between the logarithms of the numerator and the denominator (log(a/b) = log a - log b).
Lastly, the logarithm of an exponent shows that when a number is raised to a power, the logarithm of that number is multiplied by the exponent (log(x^n) = n log x). This knowledge is exceedingly beneficial when dealing with complex logarithmic equations, enabling us to condense expressions and solve them efficiently.