Solving Logs and Exponential Equations

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

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

Expand each Log

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Expand each Log

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

log₉(z/d)

• log_z9-log_d9

• log₉z-log_9d

• log_z-log_d

• log9-log₉

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

log₇z+log₇b

• log₇(z*b)

• log_z*b(7)

• log_z(b*7)

• log_b(z*7)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Rewrite as an exponential:
log₃(9)=2.

• 3⁹=2
• 3²=9
• x²=9
• 3^x=2

Solve:
6e^{5x - 6} = 54

• x = 1.3908
• x = .5416
• x = 3.3972
• x = 1.6394