Laws of Logarithms and Natural Logs

Rewrite log_b(xy).

• log_bx+log_by

• log_bx-log_by

• log_bx*log_by

• log_bx/log_by

Rewrite log_b(x/y).

• 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_bx)ⁿ

Evaluate log_b(1)

• 0
• 1
• -1
• b

Evaluate log_b(b)

• -1
• 0
• 1
• b

Evaluate log_b(b^x)

• 1
• 0
• x
• b

Simplify

• A

• B

• C

• D

Write the expression as a single logarithm. Then simplify if possible.

log₅3 + log₅6 - log₅9

• log₅69

• log₅56

• log₅2

• log₅98

Simplify

• A

• B

• C

• D

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5