Evaluating logarithms without a calculator

The video tutorial explains the property of logarithms where the log of a number with the same base equals one. It emphasizes that this property holds true regardless of the base, whether it's three, a million, or any other number. The explanation is supported by the reasoning that any number raised to the power of one equals itself, thus making the logarithm of a number with its own base always equal to one.

Explain the relationship between the base of a logarithm and the number it is applied to.

What general conclusion can be drawn about logarithms with the same base?