Question

Beginning with the function f(x)=logax , state which transformations were used to obtain the functions given below:
g(x)=loga(3−x)+1
t(x)=2loga3x
The "a" is small

Answer 1

Is that
\[\log_a\]or
\[\log(a...)\]

Answer 2

the a is small meaning it is subscript jabber

Answer 3

if a is base.
\[g \left( x \right)=\log_{a} \left( 3-x \right)+1=\log_{a} \left( 3-x \right)+\log_{a}a= \log_{a}a \left( 3-x \right) \]
so if we replace x by a(3-x) we get the reqd.result.