Logarithmic problem

When the base is between (0, 1) and the real number is equal to or greater than 1, the larger the base, the smaller the logarithm.

When the base is between (0, 1) and the real number is equal to and less than 1, the larger the base, the larger the logarithm.

When the base number is between (0, 1) and the real number is equal to 1, the logarithm is always equal to 0.