Properties of Logarithms

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Write log_b(x/y) as two logs

• log_bx-log_by
• log_bx+log_by
• log_bx*log_by
• log_bx/log_by

Rewrite 3⁴ = 81 in logarithmic form.

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

The common logarithm has what base?

• 10
• 0
• e
• -e

Write as a single log: log 12 + 2 log x

• log (12 + 2x)

• log (14x)

• log (24x)

• log (12x²)

Simplify the expression
log(30)-log(6)

• -6log(30)
• log(24)
• log(-24)
• log(5)

Rewrite log_vn = a in exponential form.

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v