Converting

Write in logarithmic form.
5² = 25

• log₅2 = 25
• log₂25 = 5
• log₂₅5 = 2
• log₅25 = 2

Write in exponential form.
log₂32 = 5

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

Rewrite 3⁴ = 81 in logarithmic form.

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

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

7^x = 13

• log ₇ x = 13

• log ₁₃ x = 7

• log ₇ 13 = x

• log _x 7 = 13

16 = 4²

• log ₄ 2 = 16

• log ₁₆ 4 = 2

• log ₂ 16 = 4

• log ₄ 16 = 2

5³ = 125

• log ₅ 125 = 3

• log ₃ 5 = 125

• log ₁₂₅ 3 = 5

• log ₅ 3 = 125

log 10,000 = 4

• 10⁴ = 10,000

• 4¹⁰ = 10,000

• 10,000⁴ = 10

• 4^10,000 = 10

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄