WEEK #7: Solving Logarithmic Equations

Re-write in log form 2⁶=64

• log₂6=64
• log₂64=6
• log₆₄2=6
• log₆₄6=2

Tags

CCSS.HSF.BF.B.5

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

Write as one logarithm. Simplify, if possible.

log₃9 + log₃27

• log₃3

• log₃243

• log₃1/3

• not possible

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Expand the logarithm
log₇ x³/y⁴

• log₇ x³ - log₇ y⁴
• log₇ x³ + log₇ y⁴
• 3log₇ x - 4log₇ y
• (3log₇ x) / (4log₇ y⁾

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

Solve

• 8

• -8

• 1/8

• -1/8

Tags

CCSS.HSF.BF.B.5

Solve

• -1/7

• 1/7

• 7

• -7

Tags

CCSS.HSF.BF.B.5

Solve

• 1

• 0

• -1

• Undefined

Tags

CCSS.HSF.BF.B.5

log₂ 16 = x

• x = 8

• x = 8, x = - 8

• x = 4

• no solution

Solve

• 1/3

• -1/3

• 3

• -3

Tags

CCSS.HSF.BF.B.5

log_x1000=3

• 1

• 10

• 30

• 3

Tags

CCSS.HSF.BF.B.5