Logarithms

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Rewrite 3⁴ = 81 in logarithmic form.

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

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

Solve for x:
log_x 25 = 2

• 5
• -5
• 1/5
• -1/5

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Evaluate.
3 log₂4

• 3
• 6
• 2
• 4

Evaluate the following logarithm:

log₄16

• 1

• -2

• 2

• ¹/₂

Evaluate the following logarithm:

log₅5

• 1

• 0

• -1

• ¹/₂

Logarithms are the inverse of ___________.

• Trees
• Quadratics
• Square
• Exponential

Find the inverse of y=9^x

• y=log_x9

• y=log₁₀9

• x=log_y9

• y=log₉x