Alg2 Unit 6 Test - Exp & Log Functions

Find the domain and range of the function whose graph is shown.

• D = {x | x > 0}; R = {y | y > 0}

• D = {x | all real numbers}; R = {y | y > 0}

• D = {x | x > 0}; R = {all real numbers}

• D = {all real numbers}; R = {y | y < 0}

• none of these are correct (something is wrong in one part or both)

Which function represents exponential growth?

• y = (9/5)^x

• y = 4x^4

• y = 12(1/5)^x

• y = 10(3)^x

Solve 8^x+2 = 32^{2x + 4}.

(a)  

Solve 2^3m-4 > 4.

• m | m < 0

• m | m > 0

• m | m > 2

• m | m > 5/3

• no solution; you can't solve exponential inequalities

Write the equation 4³ = 64 in logarithmic form.

Mathematical Equivalence

ON

Write the equation log₁₂ 144 = 2 in exponential form.

Mathematical Equivalence

ON

Evaluate log₂ 8.

(a)  

Solve log₃ n = 2.

(a)  

Solve log₂ 2m > log₂ (m + 5).

(a)  

Approximate the value of log₅ 4 to the nearest thousandth

(a)