Alg2 Unit 6 - Exp & Log Equations

Algebra 2 - Unit 6 Review
Logarithms and Exponents

By Chip Krolik

Multiple Choice

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)

Multiple Choice

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)

Multiple Choice

Which function represents exponential growth?

• y = (9/5)^x

• y = 4x^4

• y = 12(1/5)^x

• y = 10(3)^x

Multiple Choice

Solve 2^3m-4 = 4.

• m | m = 0

• m | m = 2

• m | m = 5/3

• no solution; you can't solve exponential equalities

Fill in the Blanks

Evaluate log₂ 8.

Fill in the Blanks

Solve log₂ 2m = log₂ (m + 5).

Fill in the Blanks

Approximate the value of log₅ 4 to the nearest thousandth

Multiple Choice

Solve 3^x = 21. Round to the nearest ten-thousandth.

• {x | x = 0.8451}

• {x | x = 2.7712}

• {x | x = 3.0608}

• {x | x = 7.0000}

• None of these

Multiple Choice

Which of the following is the sketch of the graph of y = -log₃ (x+5) ?

Open Ended

Logarithmic functions are the inverse of...

Fill in the Blanks

3^{2x – 6}  = 81

Fill in the Blanks

log₃ (x-3) + 10 = 14

Multiple Choice

Given the original exponential function defined by y=4^x, how would the graph change if the function were:

y=2(4)^x-3+1?

• Vertically stretched by a factor of 2, right 3, and up 1

• Vertically compressed by a factor of 1/2, left 3 and down 1

• Vertically compressed by a factor of 1/2, right 3, and down 1

• Vertically stretched by a factor of 2, left 3, and up 1

Multiple Choice

For $$y=a\left(b\right)^x+k$$ , how does adding a constant "k" transform the parent function?

• Horizontal shift

• Vertical Translation

• Reflection over the x-axis

• Reflection over the y-axis

Poll

After this review, I feel --- about exponential and logarithmic equations

• Very Confident

• Confident

• Eh...so-so.

• Lost! What is all this?

• Other: my thoughts/feelings are not listed here