10.3-10.5 Quiz

Write in exponential form.
log₂32 = 5

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

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

Rewrite 3⁴ = 81 in logarithmic form.

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

Solve for x
5^x = 17

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

Expand

• log₈ x + log₈ y + log₈ z
• 5log₈ x + 5log₈ y + 5log₈ z
• log₈ xy + 5log₈ z
• log₈ x + log₈ y + 5log₈ z

Rewrite in exponential form:
ln(2) = x

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

Solve for x:
8^x+1= 3

• 0.528
• 0.893
• -0.472
• 1.893

Solve the equation for x.

• 32
• 25
• 1.66
• 512

6^-3x=216

• x=3

• x=-1

• x=6

• x=-3

Solve

14^4-6x = 11

(round to the nearest tenth)

• 5

• 0.5

• 0.1

• 1