Algebra 2 CP & Honors Test

1. Rewrite this expression as a single logarithm and evaluate. 3 log 5 + (log 2 - log 250)

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

Use multiple log properties to write as a sum or difference of two logs: log(4x³) 

• log 4 + 3log x
• 3log 4 + 3log x
• 3log 4 + log x
• log 12 + log x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

log₅25 = ?

• 2
• 5
• 125
• 10

Tags

CCSS.HSF.BF.B.5

Evaluate log₄1

• 1
• 0
• 4
• undefined

Tags

CCSS.HSF.BF.B.5

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

• Addition
• Subtraction
• Multiplication
• Division

Rewrite as a single logarithm.

• log xyz³

• log (xy/z³)

• log x + log y + log z³

• log x³y³z³

log_aa is equivalent to

• 0
• a
• 1
• 2a

Tags

CCSS.HSF.BF.B.5

Evaluate.

• 2.965
• 2
• 37
• 45.585

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4