What is the exact value of x?

5⋅215x=16

x=log3.25log21

x=log215log3.2

x=5log3.2log21

x=5log21log3.2

The function f(x)=logx is transformed into the equation f(x)=log(14x).

Identify the parameter and the effect the parameter has on the parent function.

The function f(x)=log(14x) is a **Choose**...**horizontal stretch, or horizontal** **compression** of the parent function by a factor of **Choose**...**0.25,1, or 4.**

What are the x and y-intercepts of the equation?

y=log(7x+3)−2

Round the answers to the nearest hundredth.

Guest Dec 20, 2017

#1**+2 **

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!

Julius
Dec 20, 2017