Exponential and Logarithmic

2⁵ = 32

• log ₅ 32 = 2

• log ₂ 32 = 5

• log ₃₂ 5 = 2

• log ₂ 5 = 32

Tags

CCSS.HSF.BF.B.5

7^x = 13

• log ₇ x = 13

• log ₁₃ x = 7

• log ₇ 13 = x

• log _x 7 = 13

Tags

CCSS.HSF.BF.B.5

e³ = 20.1

• ln 20.1 = e

• ln 3 = 20.1

• ln e = 20.1

• ln 20.1 = 3

Tags

CCSS.HSF.BF.B.5

33 = x^y

• log ₃₃ y = x

• log _x 33 = y

• log _y 33 = x

• log _x y = 33

Tags

CCSS.HSF.BF.B.5

w = n⁹⁸

• log ₉₈ w = n

• log _n 98 = w

• log _n w = 98

• log _w n = 98

Tags

CCSS.HSF.BF.B.5

t = 4¹³

• log _t 13 = 4

• log ₄ t = 13

• log ₁₃ 4 = t

• log ₄ 13 = t

Tags

CCSS.HSF.BF.B.5

10⁰ = 1

• log 1 = 0

• log 0 = 1

• log ₀ 10 = 1

• log ₀ 1 = 10

Tags

CCSS.HSF.BF.B.5

4^-2 = 1/16

• log ₄ (1/16) = -2

• log _-2 (1/16) = 4

• log ₄ (-2) = 1/16

• log _1/16 (4) = -2

Tags

CCSS.HSF.BF.B.5

13.5 = e^t

• ln 13.5t = e

• ln e = 13.5t

• ln t = 13.5

• ln 13.5 = t

Tags

CCSS.HSF.BF.B.5

0.01 = 10^-2

• log _-2 0.01 = 10

• log -2 = 0.01

• log 0.01 = -2

• log _0.01 (-2) = 0.01

Tags

CCSS.HSF.BF.B.5