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What are the x and y intercepts of the equation?

 

y = log (3x+4) + 2

 

round the answers to the nearest hundredth.

 

x- intercept = 

 

y- intercept = 

 Oct 31, 2018
 #1
avatar+100579 
+1

y  = log  (3x+ 4)  + 2

 

To find the y intercept .....let x  = 0

 

y  =  log (3*0 + 4) + 2

y = log (4) + 2  ≈  2.60  =  y intercept

 

 

To find the x intercept, let y  =  0

 

0  =  log ( 3x + 4)  +  2      subtract 2 from each side

 

-2  =  log (3x + 4)

 

Exponentially, we have that

 

10^(-2)  = 3x + 4       subtract  4 from both sides

 

10^(-2) - 4  =   3x     divide both sides by 3

 

[ 10^(-2) - 4 ]  / 3   =  x   ≈  -1.33  = x intercept

 

 

 

cool cool cool

 Oct 31, 2018

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