Convert to Logarithmic Form 6^2=36

Problem

6=36

Solution

1. Identify the base, the exponent, and the result in the given exponential equation bx=y

2. Recognize that in the equation 6=36 the base b is 6 the exponent x is 2 and the result y is 36

3. Apply the definition of a logarithm, which states that bx=y is equivalent to (log_b)(y)=x

4. Substitute the values into the logarithmic form to get (log_6)(36)=2

Final Answer

6=36⇔(log_6)(36)=2

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