Logarithmic Functions Study Guide without Calculator

Write in exponential form.
log₂32 = 5

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

Tags

CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5

Solve for x
5^x = 17

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

Tags

CCSS.HSF.LE.A.4

Rewrite in exponential form:
ln(2) = x

• 2^x = 10
• 10² = x
• e^x = 2
• e² = x

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm:

log₃27

• 3

• 2

• -3

• ¹/₃

Evaluate the following logarithm:

log₄16

• 1

• -2

• 2

• ¹/₂

Evaluate the following logarithm:

log₅5

• 1

• 0

• -1

• ¹/₂

Evaluate.
log₆(¹/₂₁₆)

• 3
• ¹/₃
• -¹/₃
• -3

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in logarithmic form.

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5