Logarithmic Basics

Evaluate the following logarithm:

log₅5

• 1

• 0

• -1

• ¹/₂

Write in exponential form:

log ₂ 32 = 5

• 2⁵ = 32

• 5² = 32

• 5³² = 2

• 2³² = 5

Write in exponential form:
log ₃ 6561 = 8

• 3⁸ = 6561

• 8³ = 6561

• 3⁶⁵⁶¹ = 8

• 8⁶⁵⁶¹ = 3

Write in logarithmic form:
4⁵ = 1024

• log ₄ 1024 = 5

• log ₅ 1024 = 4

• log ₄ 5 = 1024

• log ₅ 4 = 1024

Solve the equation for x.

• 7.389

• 0.693

• 0.0183

• 6.581

Solve for x:

• 1

• 2

• .5

• 4

• x = 2

• x = -2

• y = 2

• y = -2

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

log₃(4x) = 2

• x=4/9

• x=9/4

• x=3/2

• x=2/3

log₂(1/8) = y

• y = -3

• y = (1/3)

• y = 3

• y = 0