Question

Condense each expression to a single logarithm.
6log₆ u - 6log₆ v

Answer 1

To condense the expression 6log₆ u - 6log₆ v into a single logarithm, we can use the property of logarithms that states log a - log b = log (a/b). The condensed expression is log₆ (u⁶/v⁶).

Step-by-step explanation:

To condense the expression 6log₆ u - 6log₆ v into a single logarithm, we can use the property of logarithms that states log a - log b = log (a/b). In this case, we have:

6log₆ u - 6log₆ v = log₆ u⁶ - log₆ v⁶ = log₆ (u⁶/v⁶)

So, the condensed expression is log₆ (u⁶/v⁶).