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Evaluate the expression. log6 36

1 Answer

6 votes

Final answer:

The expression log6 36 evaluates to 2 because 6 squared equals 36.

Step-by-step explanation:

To evaluate the expression log6 36, we need to determine what power the base 6 must be raised to in order to obtain 36. The question essentially asks, '6 to what power equals 36?'

62 = 36. This is because 6 multiplied by itself once equals 36.

Therefore, log6 36 = 2, as 6 raised to the power of 2 gives 36.

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User Abdelhakim
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