Log Stuff

Write in exponential form:
log ₂ 32 = 5

• 2⁵ = 32
• 5² = 32
• 5³² = 2
• 2³² = 5

Write in exponential form:
log ₃₆ 1 = 0

• 36⁰ = 1
• 36¹ = 0
• 1³⁶ = 0
• 1⁰ = 36

Write in exponential form:
log 100 = 2

• 10² = 100
• 2¹⁰ = 100
• 100² = 10
• 100¹⁰ = 2

Write in logarithmic form:
9² = 81

• log ₉ 81 = 2
• log ₂ 81 = 9
• log ₉ 2 = 81
• log ₂ 9 = 81

Write in logarithmic form:
8³ = 512

• log ₈ 512 = 3
• log ₃ 512 = 8
• log ₃ 5 = 512
• log ₈ 5 = 512

Write in logarithmic form:
2^-1 = 0.5

• log ₂ 0.5 = -1
• log _-1 0.5 = 2
• log ₂ -1 = 0.5
• log _-1 2 = 0.5

Rewrite as an exponential:
log(10,000)=4.

• e⁴=10,000
• 4^10,000=10
• 10⁴=10,000
• 0⁴=10

Rewrite log_vn = a in exponential form.

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

Write the following equation in logarithmic form:
3⁵ = 243

• log₃5 = 243
• log₂₄₃3 = 5
• log₅243 = 3
• log₃243 = 5 

Rewrite as a log: 5⁴=625

• log₄5=625
• log₅625=4
• 4=log₆₂₅5
• 5=log₄625