Exponential Function & Logarithm Review

Write in logarithmic form.
2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4

• log_-4(¹/₁₆) = 2

• log _-4 2 = ¹/₁₆

• log₂(-4) = ¹/₁₆

Answer explanation

The correct choice is log₂(¹/₁₆) = -4 because 2 raised to the power of -4 equals ¹/₁₆ in logarithmic form.

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

Solve for x
5^x = 17

• x = log₁₇5
• x = log 5 + log 17
• x = log₅17
• x = (log 5)/(log 17)

Rewrite in exponential form:
ln(2) = x

• 2^x = 10
• 10² = x
• e^x = 2
• e² = x

What is the equation for the graph

log₂(1/8) = y

• y = -3
• y = (1/3)
• y = 3
• y = 0

Solve for x
log₈(x) = 2

• x = 256
• x = 64
• x = 16
• x = 32

Solve for x:
log₃3^x = 5

• 5
• 4
• 3
• 243