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What is log^3 40- log^3 10 in a single logarithm

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Final answer:

The expression log^3 40 - log^3 10 can be combined into a single logarithm, which is log^3 4.

Step-by-step explanation:

To combine the expressions log^3 40 - log^3 10 into a single logarithm, we can use the property of logarithms that states log a - log b = log(a/b).

Using this property, we have:

log^3 40 - log^3 10 = log^3 (40/10) = log^3 4

So, the expression log^3 40 - log^3 10 is equal to log^3 4.

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