Question

Find the value of x if :
1. log x = 1.7505​

Answer 1

Answer:

Well, just resort back to the definition of the logarithm:

logxy=z is equivalent to xz=y

In this case, you haven’t specified the base. I know, most students nowadays learn in their classrooms that an unspecified base on a logarithm means log with a base 10, but many others interpret it to actually be log with a base e , so I’ll just give both answers:

Assuming you are talking about log10x,

x=10−1.766

x≈0.01713957307

Assuming you are talking about logex,

x=e−1.766

x≈0.17101568526

And there are your answers! It is funny that they are really kinda similar, now that I look at them…