U4BB1 and BB2

Find the inverse of
f(x) = 2^{x + 4} + 3

• f^-1(x) = log₂(x - 3) - 4
• f^-1(x) = log₂(x + 3) - 4
• f^-1(x) = log₂(x - 3) + 4
• f^-1(x) = log₂(x + 3) + 4

Tags

CCSS.HSF-BF.B.4A

Find the inverse of
f(x) = ½(3)^x - 1

• f^-1(x) = log₃(2x + 2)
• f^-1(x) = log₃2x + 2
• f^-1(x) = log
  f^-1(x) = log_½(x + 1) - 3
• f^-1(x) = log_½x + 1 

Tags

CCSS.HSF-BF.B.4A

Find the inverse of
f(x) = 4^x + 5

• f^-1(x) = log₄(x - 5)
• f^-1(x) = log₄x - 5
• f^-1(x) = log₄(x + 5)
• f^-1(x) = log₄x + 5

Tags

CCSS.HSF-BF.B.4A

Find the inverse of
f(x) = -⅓(6)^{x - 1} + 2

• f^-1(x) = log₆(-3x + 6) + 1
• f^-1(x) = log₆-3x + 7
• f^-1(x) = log₆(-3x) + 2
• f^-1(x) = log₆(x + 2) - 1

Tags

CCSS.HSF-BF.B.4A

Find the inverse of
f(x) = -(⅓)^{x + 2} - 4

• f^-1(x) = log_⅓(-x - 4) - 2
• f^-1(x) = log_⅓(-x - 2) - 4
• f^-1(x) = log_⅓(x + 4) - 2
• f^-1(x) = log_⅓(x - 2) + 4

Tags

CCSS.HSF-BF.B.4A

Rewrite the equation in logarithmic form:
17² = 289

• log₁₇289=2
• log₂289=17
• log₁₇2=289
• log₂2=289

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in logarithmic form:
y^x = 156

• log_y156 = x
• log_x156 = y
• log₁₅₆y = x
• log_yx = 156

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in exponential form:
log₁₅1 = 0

• 15⁰ = 1
• 0¹⁵ = 1
• 1¹⁵ = 0
• 0¹ = 15

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in exponential form:
log₁₅26 = r

• 15^r = 26
• 26^r = 15
• 26¹⁵ = r
• 15²⁶ = r

Tags

CCSS.HSF.BF.B.5

Evaluate:
log₄1

• 1
• 0
• 4
• undefined