Evaluate log base 6 of 36

Problem

(log_6)(36)

Solution

1. Identify the base and the argument of the logarithm. The base is 6 and the argument is 36

2. Rewrite the argument as a power of the base. Since 6×6=36 we can write 36 as 6^2

3. Substitute the power back into the expression to get (log_6)(6^2)

4. Apply the logarithm property (log_b)(b^x)=x In this case, the exponent is 2

Final Answer

(log_6)(36)=2

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