To find the x-intercept, we need to set y equal to zero and solve for x:
0 = log(7x + 3) - 2
2 = log(7x + 3)
10^2 = 7x + 3
97 = 7x
x = 97/7
To find the y-intercept, we need to set x equal to zero and evaluate y:
y = log(7(0) + 3) - 2
y = log(3) - 2
Using a calculator, we can find that y is approximately -1.10.
Therefore, the x-intercept is approximately 13.86 and the y-intercept is approximately -1.10, rounded to the nearest hundredth.