Quiz 10 Logs

Rewrite the equation into logarithmic form:
6² = 36

• log₆(2)= 36
• log₆(36) = 2
• ln(36) = 2
• 6³⁶ = 2

Rewrite 3⁴ = 81 in logarithmic form.

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

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Write log₆ 216 = 3 in exponential form.

• 3⁶=216
• 6³=216
• 216⁶=3
• 3²¹⁶=6

Find x: log_x(25) = 2

• x = 1

• x = 12.5

• No Solution

• x = 5

Find x: log₅(x) = 4

• x = 20

• x = 25

• x = 625

• x = 125

Evaluate without a calculator.

• -2
• 2
• 6
• -6

Evaluate without a calculator: 
log₅25 = ?

• 2
• 5
• 25
• 125

Rewrite 1.6^(x+2) = 14.1

• log_1.614.1 = x+2

• log_1.6(x+2) = 14.1

• log_14.1(x+2) = 1.6

• log_(x+2)1.6 = 14.1

Without a calculator, determine which of the following yields a negative answer.

• log₉ (¹/₃₀)

• log₉ 3

• log₉ -81

• log₉ 1