Precalculus Logarithmic Expressions

Simplify

• e/15

• e

• 15

• 1

Simplify

• e

• 0

• 1

• -1

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Evaluate log1000

• 1

• 2

• 3

• 4

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

Expand.

• log x + 5 log y
• 5 log x + 5 log y
• 5 log x - log y
• log x - 5 log y

Expand.

• A

• B

• C

• D

Expand log₆(5x³/y).

• log₆5x³-log₆y
• log₆5+log₆x³-log₆y
• log₆5+3log₆x-log₆y

Expand log₅(u³v⁵)

• 1/2(log₅u+log₅v+log₅uw)
• 5 log₅ u - 15 log₅ v 
• log₅u + log₅v +3 log₅w
• 3 log₅u + 5 log₅v