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

log₈400

2.881

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

5log₃x + log₃7

log₃(7x⁵)

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• 8)

3log₁₄ 7 + log₁₄ 8

Log Mix Up

100

Solve -4 + log₂(3x - 1) = 1

11

200

Expand:  log₃10

Multiple answers possible.

300

Solve: 2log₃x = 4

9

400

Solve:  x⁵ = 100

2.51

500

5^2x = 800

2.08

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)