Convert to Logarithmic Form 9^2=81

Problem

9=81

Solution

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

2. Recognize that in the equation 9=81 the base b is 9 the exponent x is 2 and the result y is 81

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_9)(81)=2

Final Answer

9=81⇔(log_9)(81)=2

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