3. Consider the function y = log.(x). A. What function is the inverse of y = log(x)? B. Give exact coordinates of a pair of corresponding points on y = 5* and y = log.(x). and y=1095(x)=10 Point on y = 5": (0. Point on y = logs(x): 1 C. Fill in the missing values. Then graph y = 5* and y = logs(x) to check your answers. 25 log,(25) = 4. Use the probe to find the value of log (1). A. Fill in the blanks: logs (1) = O 52 = ) 1=5 y=5²=0,2 so the point it stays the same is on the graph of y = logs(x). This point is the X-intercent of the graph. B. Use the slider to vary the value of b. What happens to the x-intercept as you do so? C. Explain why that makes sense. because anything to the power of zero is always 1, X-1 andy- • No is 5. Consider the functions y = logs(x) and y = log(x). (Note: "log(x)" means "log₁0(x).") A. What is the value of log;(5)? 1 What is the value of log(10)? 1 and to roseup Check your answers in the Gizmo. B. Use the slider to vary b. In general, what is the value of log.(b)? 1 C. Explain why. If Logb-x then bx=b ->bx=b²-> and x=1 therefore Logob. Y (1,0) 6. The points (1, 0) and (4, 1) lie on the graph of the logarithmic function shown here. What is the equation of this function? Check your answer in the Gizmo. 2 (4,1) _Y = 10gu (x) →y = alog (x) 1 = alog, (4) baut 6= alogb(1) a=1 Reproduction for educational use only.Public sharing or posting prohibited. © 2020 Explore Learning All rights reserved
3. Consider the function y = log.(x). A. What function is the inverse of y = log(x)? B. Give exact coordinates of a pair of corresponding points on y = 5* and y = log.(x). and y=1095(x)=10 Point on y = 5": (0. Point on y = logs(x): 1 C. Fill in the missing values. Then graph y = 5* and y = logs(x) to check your answers. 25 log,(25) = 4. Use the probe to find the value of log (1). A. Fill in the blanks: logs (1) = O 52 = ) 1=5 y=5²=0,2 so the point it stays the same is on the graph of y = logs(x). This point is the X-intercent of the graph. B. Use the slider to vary the value of b. What happens to the x-intercept as you do so? C. Explain why that makes sense. because anything to the power of zero is always 1, X-1 andy- • No is 5. Consider the functions y = logs(x) and y = log(x). (Note: "log(x)" means "log₁0(x).") A. What is the value of log;(5)? 1 What is the value of log(10)? 1 and to roseup Check your answers in the Gizmo. B. Use the slider to vary b. In general, what is the value of log.(b)? 1 C. Explain why. If Logb-x then bx=b ->bx=b²-> and x=1 therefore Logob. Y (1,0) 6. The points (1, 0) and (4, 1) lie on the graph of the logarithmic function shown here. What is the equation of this function? Check your answer in the Gizmo. 2 (4,1) _Y = 10gu (x) →y = alog (x) 1 = alog, (4) baut 6= alogb(1) a=1 Reproduction for educational use only.Public sharing or posting prohibited. © 2020 Explore Learning All rights reserved
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 14TI: The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14...
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Please let me know if these are right
Transcribed Image Text:3. Consider the function y = log.(x).
A. What function is the inverse of y = log(x)?
B. Give exact coordinates of a pair of
corresponding points on y = 5* and y = log.(x).
tee shi
and y=1095(x)=10
Point on y = 5": (0. )
Point on y = logs(x):
1
C. Fill in the missing values. Then graph y = 5* and y = logs(x) to check your answers.
25
log (25) =
4. Use the probe to find the value of logs(1).
A. Fill in the blanks: logs (1) =
O
52 =
1-5
y=5²=0,2
so the point)
it stays the same
is on the graph of y = logs(x).
This point is the
X-intercent
of the graph.
B. Use the slider to vary the value of b. What happens to the x-intercept as you do so?
C. Explain why that makes sense.
because anything to the power of zero is always 1,₂ X-1 andy-
• No is
5. Consider the functions y = logs(x) and y = log(x). (Note: "log(x)" means "log₁0(x).")
A. What is the value of log;(5)? 1 What is the value of log(10)? 1
Check your answers in the Gizmo.
B. Use the slider to vary b. In general, what is the value of log.(b)? 1
C. Explain why. If Logb-x then bx=b ->bx=b²-> and x=1 therefore Logob.
Y
(1,0)
6. The points (1, 0) and (4, 1) lie on the graph of the logarithmic function shown
here. What is the equation of this function? Check your answer in the Gizmo.
2
(4,1)
y = log₁ (x) →y = alog₂ (x) 1= alog (u) bzu
6= alogb(1) a=1
Reproduction for educational use only. Public sharing or posting prohibited. ©2020 ExploreLearning All rights reserved
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