Convert to Logarithmic Form 7^3=343

Problem

7=343

Solution

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

2. Recognize that in the equation 7=343 the base b is 7 the exponent y is 3 and the result x is 343

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

4. Substitute the values into the logarithmic form to get (log_7)(343)=3

Final Answer

7=343⇔(log_7)(343)=3

Want more problems? Check here!