Math  /  Algebra

QuestionGraph the function and determine the xx-irtercept y=2log(x+5)3y=-2 \log (x+5)-3 (0,4398)(0,4398) (5,0)(-5,0) (4.968,0)(-4.968,0) No x-intercept

Studdy Solution
Solve for the x x -intercept by setting y=0 y = 0 :
0=2log(x+5)3 0 = -2 \log(x + 5) - 3
Add 3 to both sides:
3=2log(x+5) 3 = -2 \log(x + 5)
Divide by -2:
32=log(x+5) -\frac{3}{2} = \log(x + 5)
Convert from logarithmic form to exponential form:
x+5=1032 x + 5 = 10^{-\frac{3}{2}}
Calculate 1032 10^{-\frac{3}{2}} :
x+50.0316 x + 5 \approx 0.0316
Subtract 5 from both sides:
x0.03165 x \approx 0.0316 - 5
x4.968 x \approx -4.968
Thus, the x x -intercept is approximately (4.968,0) (-4.968, 0) .
The x x -intercept is (4.968,0) \boxed{(-4.968, 0)} .

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord