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Twelfth Grade (Grade 12) Logarithms Questions

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Grade 12 Logarithms CCSS: HSF-IF.C.7d
Which of the following is not a property of logarithms?
  1. log(xy) = log(x) + log(y)
  2. log(x/y) = log(x) - log(y)
  3. log(x^y) = y log(x)
  4. log(x + y) = log(x) + log(y)
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the first step in solving a logarithmic equation?
  1. Divide both sides by the logarithmic base
  2. Rewrite the logarithmic equation as an exponential equation
  3. Multiply both sides by the logarithmic base
  4. Simplify the logarithmic expression on both sides
Grade 12 Logarithms
What is the natural logarithm of e?
  1. 1
  2. e
  3. 0
  4. Undefined
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the logarithm of 1 to the base 10?
  1. 1
  2. 0
  3. -1
  4. Undefined
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the value of ln(e^5)?
  1. 5
  2. e
  3. ln(5)
  4. Undefined
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the value of log(1000)?
  1. 2
  2. 3
  3. 4
  4. 5
Grade 12 Logarithms CCSS: HSF-IF.C.7d
Which of the following transformations will result in a vertical stretch of the graph of the logarithmic function f(x) = log base b (x)?
  1. f(x) → f(2x)
  2. f(x) → f(x + 2)
  3. f(x) → f(x - 2)
  4. f(x) → 2log base b (x)
Grade 12 Logarithms CCSS: HSF-IF.C.7d
Which of the following transformations will result in a horizontal shift of the graph of the logarithmic function f(x) = log base b (x)?
  1. f(x) → f(2x)
  2. f(x) → f(x + 2)
  3. f(x) → f(x - 2)
  4. f(x) → 2log base b (x)
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the solution to the equation log(base 2) (x + 3) = 4?
  1. x = 16
  2. x = 8
  3. x = 7
  4. x = 13
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the derivative of ln(x)?
  1. e^x
  2. 1/x
  3. x
  4. Undefined
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the value of ln(1)?
  1. 0
  2. Undefined
  3. 1
  4. e
Grade 12 Logarithms CCSS: HSF-IF.C.7d
How often is interest compounded in continuous compounding?
  1. Daily
  2. Weekly
  3. Monthly
  4. Continuously
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