Abeka Algebra 2 Grade 10 - Test 7

Rewrite log₆7,776=5 as an exponential equation.

6⁵=7,776

Rewrite expressions using logarithmic properties: Condense the following expression to a single logarithm: 3 log x-4 log y.

log x³/y⁴

Rewrite expressions using logarithmic properties: Expand the expression lnx²y³.

2ln x + 3ln y

What is the argument in the logarithmic function f(x) = log₂4?

4

Which of the following transformations is represented by 2 in the following equation: f(x) = 3∧x⁻² + 5? a. horizontal translation b. vertical reflection c. vertical stretch d. vertical translation

a. horizontal translation

Which of the following types of functions is a trancendental function? a. logarithmic b. polynomial c. radical d. rational

a. logarithmic

Rewrite expressions using logarithmic properties: Expand the expression log xy/z.

log x = log y - log z

What is the value for the function ƒ(x)=3∧x⁻¹ if x = 4? a. 9 b. 27 c. 81 d. 3,000

b. 27

Which of the following logarithimic properties is used in the following expansion: log x³ = 3 log x? a. inverse b. power c. product d. quotient

b. power

Which of the following functions is not a one-to-one function? a. ƒ(x) = x b. ƒ(x) = x - 4 c. ƒ(x) = x² d. f(x) = x³

c. f(x) = x²

What is the value for the function f(x) = 2e∧x if x = 4 (rounded to the hundredths place)? a. 2.77 b. 5.44 c. 54.60 d. 109.20

d. 109.20

What type of function is the inverse of a logarithmic function?

exponential (function)

Rewrite expressions using logarithmic properties: Condense the following expression to a single logarithm: ½ln x + ln y.

ln y√x

To which line are inverse functions symmetric?

y = x