Seth's Logarithm Jeopardy

Log Equations

100

Solve the equation

log₂(6g - 7) = log₂(4g - 5)

g=1

200

Solve the equation

log₉h + log₉9 = 2

h=9

300

Solve the equation

log₉6w = log₉(9w - 4)

w=(4/3)

400

Solve the equation

log (3w + 4) = log (2w + 10)

w=6

500

Solve the equation

log₅(6s² - 192) = log₅(24s)

s = -4 or 8

Change in Base Formula

100

Use a calculator to approximate to the nearest thousandth

log₁₆(190)

1.892

200

Use a calculator to approximate to the nearest thousandth

log₅(5)

1.000

300

Use a calculator to approximate to the nearest thousandth

ln 115

4.745

400

Use a calculator to approximate to the nearest thousandth

log₃(46.4)

3.493

500

Use a calculator to approximate to the nearest thousandth

log 89

1.949

Properties of Logs

100

Condense the logarithm

5ln x + 5ln m

ln (x • m)⁵

200

Expand the logarithm

log₂ (h • z)

log₂ h + log₂ z

300

Condense the logarithm 

log₆ 3 + log₆ 8 + log₆ 6

log₆ (3 • 8 • 6)

400

Expand the logarithm

log₅(x⁵ • m ² )

5log₅ x + 2log₅ m

500

Expand the logarithm

log₁₄(7 ³ • 2⁴ • 8)

3log₁₄ 7 + 4log₁₄ 2 + log₁₄ 8

Writing Logs in Terms of Others

100

Use log properties to find the value. Do not use a calculator

log₃6 = 1.6

log₃8  = 1.9            log₃(4/5)

log₃10 = 2.1

-0.2

200

Use log properties to find the value. Do not use a calculator

 log₃ 2 = 0.6 

log₃ 5 = 1.5            log₃(3/25)

log3 7 = 1.8

-2.0

300

Use log properties to find the value. Do not use a calculator

log 2 = M

log 5 = Y         log (2/9)

log 9 = D  

M - D

400

Use log properties to find the value. Do not use a calculator.

log₃ 4 = 1.3

 log₃ 5 = 1.5          log₃ (1/125)

log₃ 7 = 1.8 

 -4.5

500

Use log properties to find the value. Do not use a calculator.

log₇ 5 =0.8 

log₇ 9 = 1.1           log₇ 250= ___

log₇ 10 = 1.2

2.8

Meaning of Logs

100

Rewrite in exponential form

log₃(1/243) = -5

3^-5= (1/243)

200

Rewrite in exponential form

log_d (7/2)= h

d^h= 7/2

300

Evaluate the expression

log₁₂₁ 11 

1/2

400

Rewrite in logarithmic form

y³= z

log_yz=3

500

Rewrite in logarithmic form

8^(1/8)= S

log₈S= (1/8)