Convert to Logarithmic Form 3^4=81

Problem

3=81

Solution

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

2. Recognize the components where the base b=3 the exponent x=4 and the result y=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_3)(81)=4

Final Answer

3=81⇔(log_3)(81)=4

Want more problems? Check here!