Properties of Logarithms

Condense

• logxyz³
• log(xy/z³)
• logx+logy+logz³
• logx³y³z³

Expand

• log₈x+log₈y+log₈z
• 5log₈x+5log₈y+5log₈z
• log₈xy+5log₈z
• log₈x+log₈y+5log₈z

Condense

• log₈(a¹⁸/b³)
• log₈(a¹⁸b³)
• log₈(a/b³)
• 15log₈(a/b³)

Expand

• A
• B
• C
• D

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

Change to Logarithmic Form:
12² = 144

• log ₂ 144 = 12
• log ₁₂ 144 = 2
• log ₁₂ 2 = 144
• log ₂ 12 = 144

Expand

• A
• B
• C
• D

The common logarithm has what base?

• 10
• 0
• e
• -e