Quiz about Logarithmic Test Review

Question 1

log₂(x+3)=4

Accepted Answer

13

Answer

16

Answer

3

Answer

10

Question 2

Which function is the inverse of f(x) = ln x

Accepted Answer

f(x) = e^x

Answer

f(x) = 2^x

Answer

f(x) = 10^x

Answer

f(x) = 1/log x

Question 3

Solve for x:

Accepted Answer

.5

Answer

1

Answer

2

Answer

4

Question 4

Solve the equation for x.

Accepted Answer

7.389

Answer

0.693

Answer

0.0183

Answer

6.581

Question 5

Log with a base "e" (log_e) is the same thing as...

Accepted Answer

Natural Logarithm (LN)

Answer

"e"

Answer

Common Logarithm (Log)

Answer

Natural Log, base "e"
LN_e

Question 6

Log with a base "e" (log_e) is the same thing as...

Accepted Answer

Natural Logarithm (LN)

Answer

"e"

Answer

Common Logarithm (Log)

Answer

Natural Log, base "e"
LN_e

Question 7

What is the asymptote for the logarithmic function

$$f\left(x\right)=\log\left(x-2\right)$$

Accepted Answer

x = 2

Answer

x = -2

Answer

y = 2

Answer

y = -2

Question 8

Solve for x

Accepted Answer

5/3

Answer

2

Answer

3/5

Answer

No solution

Question 9

What transformations have occurred from $$f\left(x\right)=2^x$$ to $$g\left(x\right)=-3\left(2\right)^x-7$$

Accepted Answer

Reflection across the asymptote, stretch by a factor of 3, vertical shift down 7

Answer

Reflection across the y-axis, shrink by a factor of 3, horizontal shift left 7

Answer

Reflection across the asymptote, horizontal shift right 3, vertical shift down 7

Answer

Stretch by a factor of 3, vertical shift down 7

Question 10

Which equation is the inverse of the equation above?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 11

Simplify log₄4^3x

Accepted Answer

3x

Answer

3

Answer

4

Answer

43x

Question 12

Write log_b(x/y) as two logs

Accepted Answer

log_bx-log_by

Answer

log_bx+log_by

Answer

log_bx*log_by

Answer

log_bx/log_by

Question 13

Solve log(x) + log(x+3) = 1

Accepted Answer

2

Answer

5

Answer

-2

Answer

-5

Question 14

Write log_b(xy) as two logs

Accepted Answer

log_bx+log_by

Answer

log_bx-log_by

Answer

log_bx*log_by

Answer

log_bx/log_by

Question 15

Solve: 7^-x = 49

Accepted Answer

x = -2

Answer

x = 1

Answer

x = -1

Answer

x = 2

Question 16

log₅(4x-7)=log₅(x+5)

Accepted Answer

4

Answer

3

Answer

12

Answer

7

Question 17

log(A+B) = logA + logB

Accepted Answer

False

Answer

True

Question 18

Write as a single logarithm.

16 log u +4 log v

Accepted Answer

log(v⁴u¹⁶)

Answer

log(v⁴u⁴)

Answer

log(vuw⁴)

Question 19

Write as a single logarithm:

log(30)-log(6)

Accepted Answer

log(5)

Answer

-6log(30)

Answer

log(24)

Answer

log(-24)

Logarithmic Test Review

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