Question

Logarithm function question

Answer 1

The graphic of this function passes through P(3,1)

\[F(x)=\log_{a}x \] Where a>0. What is a?

Answer 2

so, x = 3 and f(3) =1

\(1 = \log_a 3 \)
got this ?

Answer 3

now use \(\Large \log_mn=p \implies n = m^p \)

Answer 4

Ok, got the first right...

Answer 5

3=a

Answer 6

correct! :)

Answer 7

if I did y=f(x+1), what would happen?

Answer 8

to the graphic, retricemptote, and domain?

Answer 9

everything will go one to the right?

Answer 10

or one up?

Answer 11

x ----> x+1
the graph moves one to left

Answer 12

For a > 0,
f(x - a) moves f(x) to the right by a units;
f(x + a) moves f(x) to the left by a units.

Answer 13

So the domain would be from -1 to infinite, the retriceptote would be x=-1

Answer 14

and now this would pass through (0,0) instead of (1,0) :D