logarithm rules

log (2 * 3) = ?

• log 2 + log 3

• log 2 * log 3

• log 2 - log 3

• log 5

Tags

CCSS.HSF.BF.B.5

log (2 / 3) = ?

• log 2 + log 3

• log 2 / log 3

• log 2 - log 3

• 2/3 * log 1

Tags

CCSS.HSF.BF.B.5

log (3²) =?

• log 6

• 2 log 3

• log₂ 3

• log₃ 2

Tags

CCSS.HSF.BF.B.5

log (a * b) = ?

• log a * log b

• log a + log b

• log a - log b

• a*log b

Tags

CCSS.HSF.BF.B.5

log (a / b) = ?

• log a - log b

• log a / log b

• log_a b

• log_b a

Tags

CCSS.HSF.BF.B.5

log (a² * b) = ?

• 2log(a) + log(b)

• 2log(a) + 2log(b)

• log(a) + log(b)

• 2log(a) * log(b)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Write log_b(xy) as two logs

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Write log_b(x/y) as two logs

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Rewrite in exponential form:

log₉x=2

• 9^x=2

• 2^x=9

• 2⁹=x

• 9²=x

• 2ln(xyz)
• ln(x) + ln(y) + ln(z)
• ln(x) - ln(y) - 2ln(z)
• ln(x) + ln(y) + 2ln(z)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5