Log Without Calculator

Without a calculator, determine which of the following yields a negative answer.

• log₉ (¹/₃₀)

• log₉ 3

• log₉ -81

• log₉ 1

Without a calculator, evaluate log₄1

• ¹/₄

• 0

• -1

• not possible

Without a calculator, evaluate log₁₂₅ 25

• ²/₃

• ³/₂

• ¹/₆

• ¹/₅

Write the exponential equation as a logarithm
6³=216

• log₆(3) = 216

• log₃(6) = 216

• log₆(216)=3

• log₂₁₆(6)=3

Without a calculator, list the following in order, least to greatest:

A) log₅ 30

B) log_0.25 32

C) log₇ 49

D) log₈ 40

• A,B,C,D

• A,B,D,C

• B,D,C,A

• B,D,A,C

Expand the log: log(3x)²

• 2log(3+x)

• 2log3+logx

• log3+2logx

• 2(log3+logx)

Expand the log: log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2

Using the change of base rule, what is this logarithm equivalent to?

• A

• B

• C

• D

Using the change of base rule, what is this logarithm equivalent to?

• A

• B

• C

• D

Using the change of base rule, what is this logarithm equivalent to?

• A

• B

• C

• D