Final answer:
To expand the logarithm log_5((x)/(7)), we use the logarithm property log_a(b/c) = log_a(b) - log_a(c). The expanded form is log_5(x) - log_5(7).
Step-by-step explanation:
To expand the logarithm log5((x)/(7)), we can use the logarithm property that states loga(b/c) = loga(b) - loga(c). Applying this property, the expanded form of the given logarithm is log5(x) - log5(7).
Therefore, the expanded form of log5((x)/(7)) is log5(x) - log5(7).