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Question

Write the expression as a single logarithm.

log3 40 – log3 10

Answer 1

To write the expression as a single logarithm, we can use the logarithmic property that states log(base a) b - log(base a) c = log(base a) (b/c).

Using this property, we can rewrite the expression as:

log3 (40/10)

Simplifying the expression further:

log3 (4)

Therefore, the expression log3 40 – log3 10 is equivalent to log3 4.