Simplifying Logarithms Using Properties

Expand.

• A

• B

• C

• D

Use the properties of logarithms to retwrite

• A

• B

• C

• D

• log (xy³)

• log (x⁶ − y³)

• log (x⁶/y³)

• log (x⁶ + y³)

Rewrite log_b(xⁿ)

• nlog_bx

• (log_bx)ⁿ

• xⁿlog_bx

• log_b(xⁿ)

Write the expression as a single logarithm.   Then simplify if possible.
log 6 - log 3 + 2 log 7

• log 98

• log 78

• log 56

• log 45

Simplify using log properties: log_2(3) + log_2(3x) - log_2(5)

• log_2 (3x+2)/5

• log_2(9x/5)

• log_2(3x - 2)

• log_2(45x)

Simplify using log properties:

log₃(7) - log₃(9) + log₃(x)

• log₃ (x - 2)

• log₃ (63x)

• log₃ (7x)/9

• log₃ (7)/(9x)

Condense: log16 + log2 - log8

• log4

• log8

• log10

• log24

Write as one logarithm. Simplify, if possible.

(log 3 - log 6) + log 2

• log 4

• log 2

• log 1

• log 6

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

• log₅69

• log₅56

• log₅162

• log₅98