Question

true or false: if log (x+4)=2, then e^2=x+4

Answer 1

false

Answer 2

because it is 10^2 = x+4

Answer 3

the reason of being false is:

it is log with base 10.

but on right side it's log with base e.

Answer 4

It depends. Conventionally, log written on its own has base 10, but I've had lecturers who meant it as having base e; in which case it would be true.

Answer 5

False. For that to be true, the given should be
\[\log_{e} (x+4) = 2\] and \[e^2 = (x+4)\]