Quiz about Solving Log and Exponential Equations

Question 1

Write as a single log: log 12 + 2 log x

Accepted Answer

log (12x²)

Answer

log (12 + 2x)

Answer

log (14x)

Answer

log (12 * 2x)

Question 2

Expand log₆(5x³/y).

Accepted Answer

log₆5+3log₆x-log₆y

Answer

log₆5x³-log₆y

Answer

log₆5+log₆x³-log₆y

Question 3

Solve

Accepted Answer

-3

Answer

3

Answer

1/3

Answer

No solution

Question 4

Solve

Accepted Answer

46/5

Answer

5/46

Answer

-46/5

Answer

-5/46

Question 5

Solve for x.
log₇70=log₇(10x-30)

Accepted Answer

x=10

Answer

x=1

Answer

x=2

Answer

x=-2

Question 6

9x=3x-6

Accepted Answer

x=-6

Answer

x=5

Answer

x=0

Answer

x=Does Not Exist

Question 7

ln(9x-2)=ln(x+14)

Accepted Answer

x=2

Answer

x=.156

Answer

x=-3

Answer

x=0

Question 8

9^x+3=3^x+17

Accepted Answer

x=11

Answer

X=1

Answer

x=5

Answer

x=-2

Question 9

10^2x=10000

Accepted Answer

x=2

Answer

x=.019

Answer

x=7

Answer

Does Not Exist

Question 10

5^x=(1/125)

Accepted Answer

x=-3

Answer

x=3

Answer

x=2

Answer

x=-4

Question 11

logx27=3

Accepted Answer

x=3

Answer

x=6

Answer

x=-3

Answer

x=2

Question 12

Question 12.

Accepted Answer

x = 29

Answer

x = 2

Answer

x = 7

Answer

x = 32

Question 13

Solve the equation. Round your answer to the nearest ten-thousandth.

Accepted Answer

-0.3466

Answer

-0.1505

Answer

-0.1643

Answer

-0.1182

Question 14

Solve the equation. Round your answer to the nearest thousandth.

Accepted Answer

152.684

Answer

188.7698

Answer

4.240

Answer

8.009

Question 15

The first step to solve the following equation 8 + log 7 = 10 is...

Accepted Answer

Subtract 8 on both sides to isolate the log

Answer

Rewrite exponentially

Answer

Divide by 7 on both sides

Question 16

What is the base in the equation

log 8 = 3?

Accepted Answer

10

Answer

8

Answer

3

Answer

1

Question 17

Change to Exponential Form:
log₆36 = 2

Accepted Answer

62=36

Answer

26=36

Answer

362=6

Answer

366=2

Question 18

Change to Logarithmic Form:
5³ = 125

Accepted Answer

log ₅ 125 = 3

Answer

log₃125 = 5

Answer

log ₅ 3 =125

Answer

log₁₂₅ 3 = 5

Question 19

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

Accepted Answer

Natural Logarithm (LN)

Answer

"e"

Answer

Common Logarithm (Log)

Answer

Normal Log (LN)

Question 20

Condense: log₂6+log₂3=

Accepted Answer

log218

Answer

log₂2 = 1

Answer

log23

Answer

log29

Question 21

Expand: log₃(5x²y³⁾

Accepted Answer

log₃5+2log₃x +3log₃y

Answer

log₃5x² +log₃y³

Answer

log₃5+log₃x² +log₃y³

Answer

log₃5log₃x²log₃y³

Question 22

The common logarithm has what base?

Accepted Answer

10

Answer

0

Answer

e

Answer

-e

Question 23

Expand the logarithm
log₁₀ 7x

Accepted Answer

log₁₀ 7 + log₁₀ x

Answer

(log₁₀ 7)(log₁₀ x)

Answer

7log₁₀ x

Answer

xlog₁₀ 7

Question 24

Solve: log₂(x + 2) + log₂(x)= 3

Accepted Answer

2; -4 is extraneous

Answer

-4, 2

Answer

4; -2 is extraneous

Answer

1; -3 is extraneous

Question 25

Solve for x.
5^x = 1

Accepted Answer

0

Answer

-1

Answer

2

Answer

1

Question 26

ln(eW)

Accepted Answer

W

Answer

e

Answer

eW

Answer

undefined

Question 27

Solve log₅(4x-7) =log₅(x+5).

Accepted Answer

x=4

Answer

x=-4

Answer

x=3

Answer

x=-2

Question 28

What would the change base look like for:
log₆ 48

Accepted Answer

^{log 48}/_{log 6}

Answer

log 8

Answer

^{log 6}/_{log 48}

Answer

ln 8

Question 29

Evaluate log_b(b)

Accepted Answer

1

Answer

-1

Answer

0

Answer

b

Question 30

Logarithms are the inverse of ___________.

Accepted Answer

Exponentials

Answer

Trees

Answer

Quadratics

Answer

Squares

Question 31

The natural logarithm has what base?

Accepted Answer

e

Answer

10

Answer

0

Answer

-e

Question 32

Which of the following represent the a change of base for log_x y using the natural log?

Accepted Answer

ln y / ln x

Answer

ln x / ln y

Answer

log x / log y

Answer

log y / log x

Question 33

log (-1) =

Accepted Answer

does not exist

Answer

0.1

Answer

.01

Answer

all real numbers

Question 34

Simplify

Accepted Answer

0

Answer

e

Answer

1

Answer

-1

Question 35

Evaluate:
log₅5⁴

Accepted Answer

4

Answer

e

Answer

10

Answer

5

Question 36

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 37

There are 3 apples on an apple tree. You take 2. How many do you have?

Accepted Answer

2

Answer

1

Answer

3

Answer

Bieber

Question 38

What belongs to you but others use it more than you do?

Accepted Answer

Your name

Answer

Your toys

Answer

Your life

Answer

Your phone

Question 39

Solve: log 6 - log 3x = -2

Accepted Answer

200

Answer

.02

Answer

.03

Answer

undefined

Question 40

Select the two basic strategies for solving Logarithms? (pick 2 answers)

Accepted Answer

Inverse Property

Accepted Answer

One to One Property

Answer

Drop the logarithms and solve for x

Answer

Use a calculator

Question 41

Logarithm functions are just exponential functions written a different way.

Accepted Answer

True

Answer

False

Question 42

Using Logarithms gives us a way to solve equations when the variable is the exponent.

Accepted Answer

True

Answer

False

Question 43

You cannot take the log of a negative number or 0.

Accepted Answer

True

Answer

False

Question 44

Expand:

Accepted Answer

3log₅x - log₅7

Answer

3log57x

Answer

3log₅x + log₅7

Answer

log₅7 - 3log₅x

Question 45

Condense: log6 + 2logy - 5logx

Accepted Answer

log6y²/x⁵

Answer

log6y/x

Answer

log6/y²x⁵

Answer

log6y²x⁵

Solving Log and Exponential Equations

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