Log Jeopardy

10.1 Log Basics

100

log₃(3) = ?

1

200

log(100) = ? 

2

300

log₄(64) = ?

3

400

log₅(1/25) = ?

-2

500

4log₂(2^1/2) = ?

2

10.2 Properties of Logs

100

log₂(7) + log₂(3) = log₂(?)

21

200

Write the following expression using 1 logarithm, and simplify.

log₃(8x²) - log₃(2x) 

log₃(4x)

300

log(15) - log(3) = log(?)

5

400

Rewrite the equation into Log form (log_b(x) = y)

5³ = 125

log₅(125) = 3

500

Write the following expression using 1 logarithm.

5log(x) + 3log(y) - 2log(w)

log(x⁵y³/w²)

10.3 Solving Log Equations

100

Solve

log_x(64) = 2

x = 8

200

Solve

log₂(x-5) = 3

x = 13

300

Solve

log₄(2x-8) = -1

4.125   or 33/8

400

Solve

log₁₂(x) + log₁₂(x+1) = 1

x = 3

500

Solve

log₂(x+23) - log₂(x+7) = log₂(3)

x = 1

Final Jeopardy

500

Solve

log₃(x+6) = 2 + log₃(x-2)

x = 3