Advanced Math HW 2/24 - 2/28

When a logarithm has division inside of it, it expands using ________________.

• Addition
• Subtraction
• Multiplication
• Division

Rewrite log₃t = 5 in exponential form.

• 5^t=3
• log₃5 = log₃t
• t⁵=3
• 3⁵=t

Tags

CCSS.HSF.BF.B.5

log₃81 = 

• 2
• 3
• 4
• 5

Tags

CCSS.HSF.BF.B.5

Solve: log (x) + log (x) = log (25)

• -5, 5
• 5
• -5
• 25

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

log (-1) = 

• 0.1
• .01
• all real numbers
• does not exist

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 as a single log: log 12 + 2 log x

• log (12 + 2x)
• log (14x)
• log (12 * 2x)
• log (12x²)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Rewrite as a single log:
4 log g - 2 log h

• log (4g/2h)
• log (g⁴/h²)
• log (g⁴ - h²)
• log (2gh)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Solve:
_{log (4x − 5) = log (2x − 1)} 

• 0
• 1
• 2
• 3

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Write log_b(x/y) as two logs

• log_bx-log_by
• log_bx+log_by
• log_bx*log_by
• log_bx/log_by

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8