Alg 2 6-3 & 6-5 review

Rewrite 3⁴ = 81 in logarithmic form.

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

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

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

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

log₄1 = 

• 0
• 1
• 4
• DNE

Solve for x
5^x = 17

• x = log₁₇5
• x = log 5 + log 17
• x = log₅17
• x = (log 5)/(log 17)

Solve for x
log₈(x) = 2

• x = 256
• x = 64
• x = 16
• x = 32

log₁₆(4) = y

• y = 2
• y = 4
• y = (1/2)
• y = (1/4)

Evaluate log₄1

• 1
• 0
• 4
• undefined