Quiz about untitled

Question 1

Evaluate log₄1

Accepted Answer

0

Answer

1

Answer

4

Answer

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Question 2

Rewrite log₂8 = 3 in exponential form.

Accepted Answer

23 = 8

Answer

28 = 3

Answer

32 = 8

Answer

83 = 2

Question 3

Rewrite in exponential form:

log₃(9)=2.

Accepted Answer

32=9

Answer

39=2

Answer

x2=9

Answer

3x=2

Question 4

Which of the following is the domain of the exponential function $$f\left(x\right)=2^x$$ ?

Accepted Answer

All real numbers

Answer

Positive real numbers

Answer

Negative real numbers

Answer

Zero

Question 5

Which of the following is the range of the logarithmic function $$g\left(x\right)=\log_2x$$ ?

Accepted Answer

All real numbers

Answer

Positive real numbers

Answer

Negative real numbers

Answer

Zero

Question 6

Write the expression as a single logarithm. Then simplify if possible.
log₅3 + log₅6 + log₅9

Accepted Answer

log5162

Answer

log569

Answer

log556

Answer

log598

Question 7

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

Accepted Answer

y=6(1.14)^x

Answer

y=6(0.14)^x

Answer

y=6(1+14)^x

Answer

y=6(0.86)^x

Question 8

Rewrite in exponential form:
ln(2) = x

Accepted Answer

ex = 2

Answer

2x = 10

Answer

102 = x

Answer

e2 = x

Question 9

log₈(4x+4)=2

Accepted Answer

15

Answer

12

Answer

10

Answer

3

Question 10

What is the asymptote for the equation $$y=2^{x+5}-7$$ ?

Accepted Answer

y = -7

Answer

y = 7

Answer

y = 5

Answer

x = 2

Question 11

Solve for x:
4²^x+ 1 = 17

Accepted Answer

x = 1

Answer

x = -1

Answer

x = 2

Answer

x = -2

Question 12

Joe deposits $500 in an account with 3% interest compounded quarterly for a period of 5 years. What expression would you type into the calculator to calculate the total amount of money Joe will have after the 5 year period?

Accepted Answer

$$500\left(1+\frac{.03}{4} ight)^{4 imes5}$$

Answer

$$500\left(1+.03\right)^5$$

Answer

$$500\left(1+.03 ight)^{4 imes5}$$

Answer

$$500e^{.03 imes5}$$

Question 13

What transformations occur in the following function?

Accepted Answer

right 3, up 2

Answer

left 3, up 2

Answer

left 3, down 2

Answer

right 3, down 2

Question 14

Logarithmic functions are the inverse of...

Accepted Answer

Exponential Functions

Answer

Linear Functions

Answer

Quadratic Functions

Answer

Polynomial Functions

Question 15

Solve for x. $$\log_5\left(2\right)+\log_5\left(x\right)=\log_5\left(20\right)$$

Accepted Answer

x = 10

Answer

x = 20

Answer

x = 2

Answer

$$x=\frac{1}{10}$$

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