Writing exponents as Logarithms

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5

Solve for x:

• 1
• 2
• .5
• 4

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x.
5^x = 1

• 0
• -1
• 2
• 1

Tags

CCSS.HSF.BF.B.5

log₇8=

• 1.069
• .936
• .903
• 1.892

Evaluate the log:
log₃(1/9) = 

• 1/2
• 2
• -2
• 3

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Write in logarithmic form.
5² = 25

• log₅2 = 25
• log₂25 = 5
• log₂₅5 = 2
• log₅25 = 2

Tags

CCSS.HSF.BF.B.5

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

Tags

CCSS.HSF.BF.B.5

Rewrite log_pt = m in exponential form.

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

The definition of a logarithm states: 

• log_b(a) = c  iff  c^b = a
• log_b(a) = c  iff   b^c = a
• If log_b(c) = x then x = 3
• e^ix = cos(x) + i sin(x)