Algebra 2 Exponential and Log

Is this exponential growth or decay?

• Growth

• Decay

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

Expand

• log₈x+log₈y+log₈z

• 5log₈x+5log₈y+5log₈z

• log₈xy+5log₈z

• log₈x+log₈y+5log₈z

2(16^x+6) - 8 = 35

• -4.67

• -4.89

• -2.93

• -2.95

log(x) + log(x+3) = 1

• 5

• -2

• -5

• 2

Write in logarithmic form.
5² = 25

• log₅2 = 25

• log₂25 = 5

• log₂₅5 = 2

• log₅25 = 2

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

What is the horizontal asymptote for the graph of
f(x)=-2(3)^x+4-8 ?

• y=8

• y=-8

• x=-8

• x=-4

Solve: 9^8-x = 27^x-3

• x = 5

• x = -5

• x = 1/5

• x = -1/5

What is the Logarithm used in the Change of Base Formula?

• Base 1

• Common Logarithm (Base 5)

• Common Logarithm (Base 10)

• Common Logarithm (Base 1)