Question

Consider the function f(x)=log base 10 of x.

If f(x) is increased by one unit, x must have been increased by what factor?

What is the ratio of x sub 1 to x sub 2 given that f(x sub 1)=3n and f(x sub 2)=n.

Answer 1

\[f(x)=\log _{a}x\] and in this case a=10
generally speaking a always equals 10 unless told otherwise.
so lets say \[y=\log _{a} (x)\]
\[a ^{y}=x\]

so you know what a is so if you increase y by 1 then you get \[10 ^{1}\]

I don't understanding what the second part is asking for but hopefully you can figure it out with what I gave you. good luck