logs / functions

Rewrite log_x95 = 2.3

• x^2.3 = 95

• 95^2.3 = x

• 2.3⁹⁵ = x

• x⁹⁵ = 2.3

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

Without a calculator, evaluate log₄1

• ¹/₄

• 0

• -1

• not possible

Which of the following is the sketch of the graph of y = -log₃ (x+5) ?

• 
• 
• 
• 

Evaluate the following logarithm:

log₅5

• 1

• 0

• -1

• ¹/₂

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

• 1/2

• √2

• 2

• -2

Simplify log₄4^3x

• 3x
• 3
• 4
• 4^3x