Logarithmic Functions and Properties

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Tags

CCSS.HSF.BF.B.5

Tags

CCSS.HSF.BF.B.5

Find the domain of the function: f(x) = log_3 (x + 5) - 2.

• y < 5

• x < -5

• x > -5

• y > -5

Use properties of the logarithms to match the expressions: log(4x) = log4 + logx

• Equality Rule

• Product Rule

• Quotient Rule

• Power Rule

• Equality Rule

• Product Rule

• Quotient Rule

• Power Rule

• Equality Rule

• Product Rule

• Quotient Rule

• Power Rule

Use the properties of logarithms to find ln(19/4).

Evaluate log_4 4123

• 124

• 123

• 1

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Describe the transformation of the function log(x - 5) + 2.

• up 2 units

• right 5 units

• down 2 units

• reflect over x axis

• left 5 units

For the function (2log(x + 6) - 7), select all the transformations that apply:

• Stretch vertically by a factor of 2, left 6 units, down 7 units

• Stretch horizontally by a factor of 2, right 6 units, up 7 units

• Reflect over x axis

• Stretch vertically by a factor of 1/2