Answer:
x- intercept: x = -1.33
y- intercept: y = log 4 + 2
Step-by-step explanation:
Given equation,
y = log (3x+4) + 2,
For x - intercept,
y = 0,
[tex]0 =\log (3x+4) + 2[/tex]
[tex]-2 = \log (3x+4)[/tex]
[tex]10^{-2} = 3x + 4[/tex] [tex](\log_m a = b\implies a = m^b)[/tex]
[tex]0.01 = 3x + 4[/tex]
[tex]0.01 - 4 = 3x[/tex]
[tex]\implies x =-\frac{3.99}{3} = -1.33[/tex]
For y-intercept,
x = 0,
[tex]y = \log (3(0) + 4) + 2 =\log 4 + 2[/tex]
