Which logarithmic expression results in 1?

The correct logarithmic expression that results in 1 is when the argument of the logarithm is equal to 1. This is based on the fundamental properties of logarithms, specifically the fact that the logarithm of 1 in any base is always zero.

In the expression logb(1), you're asking what power you need to raise the base ( b ) to in order to obtain 1. Since any non-zero number raised to the power of 0 equals 1, ( log_b(1) ) equals 0.

The expressions that might cause confusion include those with the base ( B^0 ) and ( B^2 ). Though ( B^0 ) equals 1, ( log_b(B^0) ) results in 0, since it explores the base raised to the power of 0, which does not yield a value of 1. Similarly, the expression ( log_b(B) ) evaluates to 1 because it asks what power you raise ( b ) to in order to get ( B ), and that power is indeed 1. However, the key here is understanding what leads to a logarithmic result of 1 specifically.

Thus, the expression