Solving Logarithmic Functions

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Tags

CCSS.HSA.REI.D.11

CCSS.HSF.BF.B.4

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Rewrite the equation in logarithmic form.

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Tags

CCSS.HSF.BF.B.5

Rewrite the equation in logarithmic form.

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Tags

CCSS.HSF.BF.B.5

Convert from log to exponential form:

log₂1/8_=-3

• 1/8^-3=2

• 2^-3=1/8

• -3^1/8=2

• 2³=8

Tags

CCSS.HSF.BF.B.5

Convert from log to exponential form:

log₄4=1

• 4⁴=1

• 4⁰=1

• 1⁴=4

• 4¹=4

Tags

CCSS.HSF.BF.B.5

Expand: log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

Expand: log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2

• logx+logy

• xlogy

• log(x-y)

• logx-logy

Solve. log₅(4x-7)=log₅(x+5)

• 3
• 12
• 4
• 7

Solve. log₂(x+3)=4

• 16

• 13

• 3

• 10