I'm a bit confused, with your formatting. . .
When you say what is the exact value of x and you post a bunch of log equations are those the options?
As for the second part
f(x)= log x AND f(x)=log(14x)
I know this is some sort of Horizontal stretch/compression. Horizontal stuff are always opposite.
So 14 is actually 1/14=0.07 <---- This is obviously less than zero so it's a compression.
So there is a horizontal compression by 1/14. Not sure about those options though...
y=log(7x+3)-2
For the x-intercept, you plug in 0 for y and solve. You get: (13.86,0)
For the y-intercept: you plug in 0 for x and solve. You get: (0,-1.52)
Hope that helps!