MP4 3 Weeks Test

Rewrite as an exponential: log₂8 = 3

• 3² = 8

• 2³ = 8

• 2⁸ = 3

• 8³ = 2

Rewrite as a log: 7⁰ = 1

• log₇(1) = 0

• log₀(7) = 1

• log₇(0) = 1

• log₁(0) = 7

Which equation is the inverse of the equation above?

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Which equation is the inverse of the equation above?

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Describe domain of the function shown: y=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

• g(x)=log₃(x+6)+4

• g(x)=log₃(x+4)-6

• g(x)=log₃(x-6)+4

• g(x)=3log(x+6)+4

Write the equation of the function f(x)=3logx+4 after the following transformations:

Vertical stretch by a factor of 2, translate 5 units to the right.

• g(x)=5log(x+5)+4

• g(x)=5log(x-5)+4

• g(x)=6log(x-1)

• g(x)=6log(x-5)+4