+511 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 =
+128475 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
