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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
avatar+956 
+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
 #2
avatar+94181 
0

I'm confused with that first bit too and I have not looked any further.

Melody  Dec 20, 2017

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