Question

In order to graph the following function: f(x)=log (subscript 2) (x+1), I know that from the parent function (log x), it's a horizontal shift to the left by 1, but I don't understand what to do with the subscript 2.

Answer 1

\[f(x)=\log_{2}(x+1) \\ f(x)=\frac{\log(x+1)}{\log(2)}=\frac{1}{\log(2)} \log(x+1)\]
it just means you have to scale the parent function

Answer 2

1/log(2) is positive
so it will keep the same direction if that makes sense to you

Answer 3

recall:
\(\large g(x)=a f(bx-h) + k\)
a=vertical scale
1/b=horizontal scale
h=horizontal (right) translation
k=vertical (up) translation

Answer 4

Ok, I think I understand that solution. In this equation: \[f(x)=\log _{3 }(\frac{ x }{ 4 })\]
Do you follow the same steps?
\[\frac{ \log \frac{ x }{ 4 } }{ \log3 }\]

Answer 5

Never mind! I got it now!:)