Question

what is the domain of this function? and how

Answer 1

\[y=\log_{3} x+2\]

Answer 2

is it x + 3 or logbase3(x + 2)

Answer 3

sorry, 2:P

Answer 4

\[y=\log_{3} (x+2)\]

Answer 5

ok. so in that case the domain is all x > -2

Answer 6

how did you get this?

Answer 7

This is because the argument of a log has to be positive.

Answer 8

oooh wait you just got the inverse of (x+2)?

Answer 9

Not quite an inverse, but sinusoidal's reasoning is correct.
Given log(A), A > 0.
log(x+2) --> x+2 > 0

Logarithms are exponents and there is no exponent that can make a base zero or negative.

Answer 10

mmm i see thank you very much guys!