LOGS

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 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 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

Tags

CCSS.HSF.BF.B.5

log₂₅(5)

• 1/2
• 2
• -2
• 1/5

log₁₆2

• 8
• -4
• 4
• 1/4

Expand the expression: log₂10x

• log₂10 + log₂x

• log10 + logx + log2

• log₂10x

• xlog₂10

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

Expand the expression: log₂5xy

• log₂5 + log₂xy

• log₂5 + log₂x + log₂y

• log10xy

• xylog₂5

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Condense the expression: log₄6 + log₄3

• log₄2

• log72

• log₄63

• log₄18

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Rewrite log_pt = m in exponential form.

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

Tags

CCSS.HSF.BF.B.5

Solve for x: (hint - rewrite 1st)

log_x 25 = 2

• 5

• -5

• 1/5

• -1/5