Question

What are the x and y intercepts of the equation? y=log(3x+4)+2

Answer 1

Answer: x= (-133/100,0)

= (0,log(4)+2)

Step-by-step explanation:

Answer 2

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,

$0 =\log (3x+4) + 2$

$-2 = \log (3x+4)$

$10^{-2} = 3x + 4$   $(\log_m a = b\implies a = m^b)$

$0.01 = 3x + 4$

$0.01 - 4 = 3x$

$\implies x =-\frac{3.99}{3} = -1.33$

For y-intercept,

x = 0,

$y = \log (3(0) + 4) + 2 =\log 4 + 2$