Rewriting Exponentials and Logarithms

How are exponentials and logarithms related?

• They're cousins

• They're inverses

• They're not related

• They're reciprocals

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

Rewrite the equation in logarithmic form.

• A

• B

• C

• D

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Rewrite the equation into logarithmic form:
6² = 36

• log₆ 2 = 36

• log₆ 36 = 2

• ln 36 = 2

• 6³⁶ = 2

Write in logarithmic form

2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4

• log_-4(¹/₁₆) = 2

• log _-4 2 = ¹/₁₆

• log₂(-4) = ¹/₁₆

Change to Exponential Form:
log_289 17 = 1/2

• 289^1/2 = 17

• 17^1/2 = 289

• 289^17 = 1/2

• 1/2^17 = 289

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

Identify the base and exponent for 2³ = 8.

• Base: 2

  Exponent: 3

• Base: 3

  Exponent: 2

• Base: 2

  Exponent: 8

• Base: 8

  Exponent: 3