Log/Exponential Function Recap PC

Convert 16 = 2^x to a Log

• Log₂(x) = 16

• Log₂(16) = x

• Log₁₆(x) = 2

• Log_x(16) = 2

Tags

CCSS.HSF.BF.B.5

Convert Log₂(64) = y to an exponent

• 64^y = 2

• 2⁶⁴ = y

• 64² = y

• 2^y = 64

Tags

CCSS.HSF.BF.B.5

Convert Log₃(x) = 4 to an exponent

• 3^x = 4

• 3⁴ = x

• x³ = 4

• 4^x = 3

Tags

CCSS.HSF.BF.B.5

log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

• logx+logy

• xlogy

• log(x-y)

• logx-logy

Tags

CCSS.HSF.BF.B.5

• logm-log3-logn

• 3logm+logn

• 3logm-logn

• 3log(m-n)

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

ln(4xy)

• ln4+lnx+lny

• 4lnxy

• 4lnx+lny

• 4ln(x+y)

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

Rewrite log_x95 = 2.3

• x^2.3 = 95

• 95^2.3 = x

• 2.3⁹⁵ = x

• x⁹⁵ = 2.3

Tags

CCSS.HSF.BF.B.5