Honors Algebra 2 Properties of Logarithms

Write log_b(x/y) as two logs

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

Expand

• A
• B
• C
• D

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

Condense: log₂6+log₂3=

• log₂18

• log₂2 = 1

• log₂3

• log₂9

Rewrite log_b(xⁿ)

• nlog_bx
• (log_bx)ⁿ
• xⁿlog_bx
• log_b(xⁿ)

Write as a single log: log 12 + 2⋅log x

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

Expand

• A
• B
• C
• D

log (2 * 3) = ?

• log 2 + log 3

• log 2 * log 3

• log 2 - log 3

• log 5

log (2 / 3) = ?

• log 2 + log 3

• log 2 / log 3

• log 2 - log 3

• 2/3 * log 1

log (3²) =?

• log 6

• 2 log 3

• log₂ 3

• log₃ 2