Nine Weeks Review - Algebra 3 (Part 1)

Write the expression as a single logarithm.   Then simplify if possible.
log₅3 + log₅6 + log₅9

• log₅69
• log₅56
• log₅162
• log₅98

• 6log₈(xyz)
• log₈(x) - log₈(y) - 6log₈(z)
• log₈(x) + log₈(y) - log₈(z)
• log₈(x) + log₈(y) + 6log₈(z)

• log (a⁵ + b²⁵)
• log (a⁵ − b²⁵)
• log (ab²⁵)
• log (a⁵/b²⁵)

log₂(x + 2) + log₂x  = 3

• -4, 2
• -2, 4
• 2
• 1

log₅(4x-7)=log₅(x+5)

• 3
• 12
• 4
• 7

• 5
• 13
• 84
• -20

• A

• B

• C

• D

Solve

log(7x-6) < log(4x+9)

• x<5

• x>5

• x<-5

• x>-5

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite the equation into logarithmic form:
6² = 36

• log₆ 2 = 36
• log₆ 36 = 2
• ln 36 = 2
• 6³⁶ = 2

Tags

CCSS.HSF.BF.B.5