3-11 Exp to log and visa versa

Rewrite 3⁴ = 81 in logarithmic form.

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

log₅25 = ?

• 2
• 5
• 125
• 10

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Change to Logarithmic Form:
5³ = 125

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

Solve for x.
3^x = 27

• 2
• 4
• 3
• 5

The common logarithm has what base?

• 10
• 0
• e
• -e

8^3x+3 = 8⁶

• x=28
• x=3
• x=1
• x=12

Rewrite log_vn = a in exponential form.

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

Rewrite log₂8 = 3 in exponential form/

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2