G10 Dec. 20

Log1

100

Re-write in exponential form:

log₆(36) = 2

6² = 36

200

Re-write in exponential form:

log₁₄(1/196) = -2

14^-2 = 1/196

300

Expand: log(x/y⁵)

log(x) - 5log(y)

400

Expand: log(x * y * z²)

log(x) + log(y) + 2log(z)

500

Condense the expression into a single logarithm:

log(6) / 3

log(6^1/3)

Exp1

100

(1/12)² = 144

log₁₂(144) = 2

200

Re-write as a logarithm:

(1/5)^x = y

log_1/5(y) = x

300

Re-write as a logarithm:

9^-2 = 1/81

log₉(1/81) = -2

Log 2

200

Expand:

log(6/5)⁶

6log(6) - 6log(5)

300

Condense into a single logarithm:

log₃u - 5log₃v

log₃(u/v⁵)

400

Condense into a single logarithm:

log₄u - 6log₄v

log₄(u/v⁶)

500

Condense into a single logarithm:

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

log(4x²/75y²)

Vocab

200

A U B 

A union B

300

A ∩ B

A intersect B

400

A U B^c

A union B complement