Logs

Write in exponential form.

log₂(¹/₈) = -3

• 2^-3 = ¹/₈

• 2^1/8 = -3

• -3² = ¹/₈

• -3^1/8 = 2

Tags

CCSS.HSF.BF.B.5

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

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

Write the expression as a single logarithm. Then simplify if possible.

log₅3 + log₅6 + log₅9

• log₅69

• log₅56

• log₅162

• log₅98

Expand

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSF.LE.A.4

Expand

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Condense

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Use "Change-of-Base" Formula

• 3.544
• 2.633
• 0.282
• 1.778

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Use "Change-of-Base" Formula

• −2
• 2
• 2.351
• -1.146