Which one of the following observations is correct for the features of logarithm function to any base $b>1$ ?

The value of $$e^{\log _{10} \tan 1^{\circ}+\log _{10} \tan 2^{\circ}+\log _{10} \tan 3^{\circ}+\ldots+\log _{10} \tan 89^{\circ}}$$ is