Properties of Logarithms

log₂(x² - 6) = log₂(2x+2)

• 4, -2

• No Solution

• 4

• -2

• 5
• 13
• 84
• -20

log₉ (3x+14) - log₉ 5 = log₉ 2x

• 4

• 13/14

• -2

• 3

• 2

The common logarithm has what base?

• 10

• 0

• e

• -e

Write log_b(xy) as two logs

• log_bx+log_by

• log_bx-log_by

• log_bx*log_by

• log_bx/log_by

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

Rewrite log_b(xⁿ)

• nlog_bx

• (log_bx)ⁿ

• xⁿlog_bx

• log_b(xⁿ)

log_x 25 = 2

• 5

• -5

• 1/5

• -1/5

Evaluate.
3 log₂4

• 3

• 6

• 2

• 4

State the property (s) used to simplify the expression

• Product Property

• Quotient Property

• Power Property

• Product and Power Property