Chapter 6 Review

Rewrite as an exponential: log₂8 = 3

• 3² = 8

• 2³ = 8

• 2⁸ = 3

• 8³ = 2

Rewrite as a log: x = 11^y

• log₁₁(y) = x

• log_y(11) = x

• log₁₁(x) = y

• log_x(y) = 11

Rewrite as a log: 7⁰ = 1

• log₇(1) = 0

• log₀(7) = 1

• log₇(0) = 1

• log₁(0) = 7

Find x: log₂(32) = x

• x = 5

• x = 16

• x = 4

• x = 6

Find x: log₅(x) = 4

• x = 20

• x = 25

• x = 625

• x = 125

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

• 5
• -5
• 1/5
• -1/5

Solve the following for 'x';
log₆(3x - 2) = log₆(5x - 8)

• x = 3
• x = 2
• x = -1
• No Solution

• does not exist

• 4

• 3

• 1.5

Use multiple log properties to write as a single log:
log₂x -  5log₂y

• log₂(x/y⁵)
• log₂(xy⁵)
• log₂(x/y)⁵
• log₂(x/5y)