Properties of Log

What is the value of e^ln(5)

• e
• 1
• 5
• Does not exist

What is the value of ln(e⁷)

• 2.718...
• 1
• 7
• Does not exist

Solve for x:
ln(x)=3

• e^x
• 3e
• 3^e
• e³

Solve for x:
e^x=7

• x=ln7
• x=ln⁷
• x=7^ln
• No solution

How are exponentials and logarithms related?

• They're cousins
• They're inverses
• They're not related
• They're reciprocals

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Rewrite 3⁴ = 81 in logarithmic form.

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

Rewrite log_pt = m in exponential form.

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

Rewrite log₂8 = 3 in exponential form/

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Change to Logarithmic Form:
5³ = 125

• log ₅ 125 = 3
• log ₃ 125 = 5
• log ₅ 3 =125
• log₁₂₅ 3 = 5