CONVERTING FORMS
EVALUATING LOGS
LOG PROPERTIES
EXPAND
CHALLENGE
100

Rewrite: log₃ 81 = 4

3⁴ = 81

100

log₂ 8

3

100

log₂ 4 + log₂ 8

log₂ 32

100

log₃(9x)

log₃ 9 + log₃ x

100

log₄ 16

2

200

Rewrite: 2⁵ = 32

log₂ 32 = 5

200

log 100

2

200

log₅ 20 − log₅ 4

log₅ 5

200

log₂(x³)

3log₂ x

200

log₃ 1/9

−2

300

Rewrite: log₅ 125 = 3

5³ = 125

300

log₅ 25

2

300

2 log₄ x

log₄ x²

300

log(ab²)

log a + 2log b

300

Solve: log₂ x = 5

x = 32

400

Rewrite: 10² = 100 

log 100 = 2

400

log₇ 1

0

400

log₃ a + log₃ b

log₃ a + log₃ b

400

log₂(x² / y)

2log₂ x − log₂ y

400

Condense: log₂ x + log₂ y − log₂ z

log₂(xy/z)

500

Rewrite: log₂ x = 6

x = 64

500

log₉ 3

1/2

500

log₂ a − log₂ b

log₂(a/b)

500

log₅(25x³y)

log₅ 25 + 3log₅ x + log₅ y

500

Solve: log₅ x = 3

x = 125