Free Printable 11th Q3 quiz2 Logarithms

1.

Solve ln e

a)

10

b)

1

c)

5

d)

3

2.

Solve ln 1

a)

10

b)

4

c)

0

d)

1

3.

Write in logarithmic form.
5² = 25

a)

log₅2 = 25

b)

log₂25 = 5

c)

log₂₅5 = 2

d)

log₅25 = 2

4.

Evaluate to the nearest thousandths.

a)

-23.900

b)

-23.960

c)

-23.965

d)

-23.966

5.

Which exponential equation is equivalent to $\ln50=x$ ?

a)

$e^{\ln\left(50\right)}=x$

b)

$e^x=50$

c)

$e^{50}=x$

d)

$\ln\left(e^x\right)=50$

6.

Which exponential equation is equivalent to $\ln50=x$ ?

a)

$e^{\ln\left(50\right)}=x$

b)

$e^x=50$

c)

$e^{50}=x$

d)

$\ln\left(e^x\right)=50$

7.

Which logarithmic equation is equivalent to $e^x=4$ ?

a)

$\ln4=x$

b)

$\ln x=4$

c)

$e^{\ln\left(4\right)}=x$

d)

$\ln\left(e^x\right)=4$

8.

What is the exact answer to the equation $2e^{5x}=24$ ?

a)

$x=\ln12-5$

b)

$x=\frac{\ln22}{5}$

c)

$x=\frac{e^{12}}{5}$

d)

$x=\frac{\ln12}{5}$

9.

Rewrite in exponential form:
ln(2) = x

a)

2^x= 10

b)

10² = x

c)

e^x= 2

d)

e² = x

10.

To solve 36 = 6^x, re-write 36 as what base and exponent?

a)

3⁶

b)

6³

c)

6²

d)

3¹²

11.

Solve 8 = 2^5x+7

a)

⅘

b)

¼

c)

-⅘

d)

-¼

12.

Solve for b:
4^{3b - 3} = 1/16

a)

7

b)

-1/4

c)

1/2

d)

1/3

13.

Solve the following exponential equation:
$\left(\frac{1}{2}\right)^{2x}=4^3$

a)

$x=3$

b)

$x=-\frac{5}{2}$

c)

$x=-3$

d)

$x=\frac{5}{2}$

14.

Write and exponential function for the following problem: Mrs. Madison starts the year off with 100 pencils. Each week, half of the pencils disappear. How many would be left after x weeks?

a)

$y=100\left(2\right)^x$

b)

$y=100\left(\frac{1}{2}\right)^x$

c)

$y=2x\ +\ 100$

d)

$y=\left(\frac{1}{2}\right)^x$

15.

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.

a)

y=6(0.14)^x

b)

y=6(1 + 14)^x

c)

y=6(1 + .14)^x

d)

y=6(0.86)^x

16.

You deposit $500 into an account. If the account increases by 6% per year, how much will the account be worth after 10 years? Round to the nearest whole dollar.

a)

$895

b)

$133,931

c)

$273

d)

$907

17.

What type of function is y = 7(5/4)^x?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None of the above

18.

y=9*(2)^-x

a)

Growth

b)

Decay

c)

Neither

19.

f(x)=230(2/7)^-x

a)

Growth

b)

Decay

c)

Neither

20.

Rewrite in exponential form:
ln(2) = x

a)

2^x= 10

b)

10² = x

c)

e^x= 2

d)

e² = x

21.

Which of the following is the value of x given;
e^(x + 6) = 12

a)

x = ln 6

b)

x = -6 + ln12

c)

x = ln72

d)

x = ln(-2)

22.

log(x+6) = 1

a)

4

b)

4.222

c)

-5

d)

-9.550

23.

Write in logarithmic form:
9² = 81

a)

log ₉ 81 = 2

b)

log ₂ 81 = 9

c)

log ₉ 2 = 81

d)

log ₂ 9 = 81

24.

Evaluate.
log₆(¹/₂₁₆)

a)

3

b)

¹/₃

c)

-¹/₃

d)

-3

11th Q3 quiz2 Logarithms

Total questions: 24

Worksheet time: 52mins

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