4.12 Exponentials and Logarithms

Rewrite log_pt = m in exponential form.

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

log₅25 = ?

• 2
• 5
• 125
• 10

Evaluate log₄1

• 1
• 0
• 4
• undefined

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

Solve for x.
3^x = 27

• 2
• 4
• 3
• 5