Logs

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

log₃81 = 

• 2
• 3
• 4
• 5

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

Solve:
log₅ 7x = 2

• x = 5/7
• x = 25/7
• x = 2/7
• x = 17.5

Solve:

log₃ (x - 3) = 4

• x = 78

• x = 6

• x = 84

• x = 7

Solve:
log (4p - 2) = log (-5p + 5)

• p = 9/7
• p = -7/9
• p = -7
• p = 7/9

Solve:
12^r = 13

• x = 1.03221
• x = 1.0808
• x = .9688
• x = .03476

Condense the expression: log₄6 + log₄3

• log₄2

• log72

• log₄63

• log₄18

Condense the expression: log₄6 + log₄3 + log₄v

• log₄2

• log72

• log₄18v

• log₄18