Convert to Logarithmic Form 3^-4=1/81

Problem

3(−4)=1/81

Solution

1. Identify the base, the exponent, and the result from the given exponential equation by=x

2. Determine the values where the base b=3 the exponent y=−4 and the result x=1/81

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

4. Substitute the identified values into the logarithmic form (log_3)(1/81)=−4

Final Answer

3(−4)=1/81⇔(log_3)(1/81)=−4

Want more problems? Check here!