Determine if True log base 6 of 36=2

Problem

(log_6)(36)=2

Solution

1. Identify the logarithmic equation to be evaluated.

2. Apply the definition of a logarithm, which states that (log_b)(x)=y is equivalent to the exponential form by=x

3. Substitute the values from the given equation into the exponential form: b=6 y=2 and x=36

4. Evaluate the exponential expression 6

5. Calculate the result: 6×6=36

6. Compare the result of the calculation to the value of x Since 36 = 36$, the statement is true.

Final Answer

(log_6)(36)=2* is True

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