Exponential and Logarithmic Functions

Change the following into logarithmic form: h = p ^g

• log _g p = h
• log _p h = g
• log _p g = h
• log _h p = g

Tags

CCSS.HSF.BF.B.5

Change the following into exponential form: log _y x = r

• y ^x = r
• x ^y = r
• y ^r= x
• r ^y = x

Tags

CCSS.HSF.BF.B.5

What is the asymptote of this function:
 f(x) = 2^x-1 + 3

• x = - 3
• x = 3
• 3
• - 3

Tags

CCSS.HSF-IF.C.7E

What is the domain and range of
f(x) = log ₃ (x + 1)?

• D: (− ∞, ∞) R: (−1, ∞)
• D: (− ∞, ∞) R: (1, ∞)
• D: (−1, ∞) R: (− ∞, ∞)
• D: (1, ∞) R: (− ∞, ∞)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Expand the following logarithm: log ((x ² y)/(w ⁵ z))

• 2 log x - log y - 5 log w - log z
• log x² + log y - log w⁵ - log z
• 2 log x + log y - 5 log w - log z
• 2 log x + log y - 5 log w + log z

Combine the following logarithms into a single logarithm: 3 ln s + ½ ln t - 4 ln v

• ln ((s³√(t))/v⁴)
• ln (3s√(t)/v⁴)
• 12 ln (st/v)
• ln (s³√(t)/4v)

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Combine the following logarithms into a single logarithm: 3 ln s + ½ ln t - 4 ln v

• ln ((s³√(t))/v⁴)
• ln (3s√(t)/v⁴)
• 12 ln (st/v)
• ln (s³√(t)/4v)

Change log ₄ 19 to be an expression with a base of 5. Do not evaluate.

• (log ₅ 19)/(log 4)
• (log 19)/(log 4)
• (log 19)/(log ₅ 4)
• (log ₅ 19)/(log ₅ 4)

Evaluate: log ₄ 17

• 2.00
• 2.12
• 2.04
• 2.43

Tags

CCSS.HSF.BF.B.5

Solve the following equation:
3xe^x + x²e^x = 0

• x = 0
• x = -3
• x = - 3 and x = 0
• No Solution