How I find the exact value of each logarithm without using a calculator given log base 3 then 1?

I'm guessing your problem looks like





log(3) 1 = ?





Generally, the base of the log gets raised to the answer like this:





log(3) 1 = x so 3^x = 1





And in that case, x = 0 since 3^0 = 1





So.... log(3) 1 = 0





(by the way, the log of 1 of any base equals 0)|||log₃(1) = log₃(3⁰) = 0|||As others said, the answer is 0.