Logarithms

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Rewrite log_pt = m in exponential form.

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

Evaluate  log₃81 

• 2
• 3
• 4
• 5

Evaluate log 0.001

• -2
• -3
• 1/3
• 10

Evaluate log₇ 343

• 3
• 49
• 7
• 1

Evaluate log_x 16=1/2

• 256
• 16
• 4
• 2

Tags

CCSS.HSF.BF.B.5

Evaluate
log₈8 = x

• x = 0
• x = 1
• x = 2
• x = 8

Tags

CCSS.HSF.BF.B.5

Solve for x
log₈(x) = 2

• x = 256
• x = 64
• x = 16
• x = 32

Tags

CCSS.HSF.BF.B.5

Solve for x
5^x = 17

• x = log₁₇5
• x = log 5 + log 17
• x = log₅17
• x = (log 5)/(log 17)

Tags

CCSS.HSF.BF.B.5