Logarithms Properties

Write in logarithmic form.
2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4
• log_-4(¹/₁₆) = 2
• log _-4 2 = ¹/₁₆
• log₂(-4) = ¹/₁₆

Tags

CCSS.HSF.BF.B.5

Use the change of base formula and your calculator to approximate the log.

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x
5^x = 17

• x = log₁₇5
• x = log 5 + log 17
• x = log₅17
• x = (log 5)/(log 17)

Tags

CCSS.HSF.BF.B.5

Expand: log ₂ x⁴

• 2log x⁴

• 4log ₂ x

• log 2 + log x + log 4

• 4log 2 + log x

Condense: 5 log ₃ x

• log ₃ x + 5

• log ₃ x⁵

• log x¹⁵

• trees make logs

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

• log₅69
• log₅56
• log₅162
• log₅98

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Solve:
3^x-1 = 81

• 5
• 6
• 9
• 10

Tags

CCSS.7.EE.B.4A

Change y = a^x into log form.

• x = log_ay

• y = log_ax

• x = log_ya

• y = log a

Tags

CCSS.HSF.BF.B.5

Use a calculator to find each logarithm to the nearest thousandth.

log_½10

• -3.322

• 0.301

• -0.301

• 3.322

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

• log₅69
• log₅56
• log₅162
• log₅98