A2 - Minor #2 - Exp/Log/Properties (w/o solving)

What equation matches the graph?

• f(x) = 3^x
• f(x) = (⅓)^x
• f(x) = log₃(x)

Where would the asymptote be for this graph?

• y = 4
• y = -4
• x = 3
• x = -3

What is the domain?

• (-∞, ∞)
• (0, ∞)
• [1, ∞)
• (1, ∞)

A vertical shift will affect a logarithm's asymptote.

• False

• True

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

What is the equation of the asymptote?

• x = -3
• x=5
• y= -3
• y=5

Convert log(x)=5 to exponential form

• 1⁵=x
• 10^x=5
• x⁵=10
• 10⁵=x

Convert 10^(x+5)=100 to logarithmic form.

• log₁₀₀=x+5
• log(x+5)=100
• log(100)=x+5
• log_(x+5)(100)=10

Simplify e^ln(x)

• 0
• 1
• x
• 8

Evaluate log₉(9)

• -1
• 1
• 0
• 9