5.1 Intro to Logarithms

Simplify, if possible.

log₃9 + log₃27

• -1

• 5

• 4

• 1

Simplify.

log₅125 - log₅25

• 1

• 0

• 5

• -1

Evaluate.
log₃81

• 4

• ¹/₄

• -4

• -¹/₄

Write in logarithmic form.
5² = 25

• log₅2 = 25

• log₂25 = 5

• log₂₅5 = 2

• log₅25 = 2

Write in logarithmic form.
2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4

• log_-4(¹/₁₆) = 2

• log _-4 2 = ¹/₁₆

• log₂(-4) = ¹/₁₆

Write in exponential form.
log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Write in exponential form.
log₂(¹/₈) = -3

• 2^-3 = ¹/₈

• 2^1/8 = -3

• -3² = ¹/₈

• -3^1/8 = 2

Evaluate:
log₄16

• 2

• 4

• 1/2

• -2

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

log₄1 = 

• 0

• 1

• 4

• DNE