Some people define with an unspecified base as the natural log (that is, base ), in which case your assertion is true by the definition of the logarithm function.
Some people define with an unspecified base as the base 10 log, in which case your assertion is false by the definition of the logarithm function.
Since I have no idea what you mean by , I can't answer your question.
John
My calculator said it, I believe it, that settles it