Unit 7-2 Review OL

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

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Logarithmic functions are the inverse of...

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

Logarithmic functions have...

• Vertical asymptote at x=0

• Vertical asymptote at x=1

• Horizontal asymptote at y=1

• Horizontal asymptote at y=0

Solve the logarithmic function: log₃(x + 5) = 2

• x = 14

• x = 4

• x = 11

• x = 6

Solve the logarithmic function: log₄8x = 3

• x = 16

• x = 2

• x = 4

• x = 8

Solve the logarithmic function: 4 + log₃(x - 7) = 6

• x = 34

• x = 16

• x = 2

• x = 72

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

Solve the exponential function: 5^x + 7 = 32

• x = 25

• x = 6

• x = 9

• x = 2