Final answer:
To condense the expression 2log6(3) - 4log6(5) to a single logarithm, you can use the property that the logarithm of a number resulting from the division of two numbers is the difference between the logarithms of the two numbers. So, the expression can be written as log6(3^2 / 5^4). Simplifying further, we get log6(9 / 625).
Step-by-step explanation:
To condense the expression 2log63 - 4log65 to a single logarithm, you can use the property that the logarithm of a number resulting from the division of two numbers is the difference between the logarithms of the two numbers. So, the expression can be written as log6(32 / 54). Simplifying further, we get log6(9 / 625).