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Logarithms Questions - All Grades

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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 11 Logarithms CCSS: HSF-BF.B.5
Evaluate. Write in simplest form. 10log103
  1. 3
  2. 10
  3. 1000
  4. 1/3
  5. none of these are correct
Grade 11 Logarithms
Expand log15k68√m using the Laws of Logarithms.
  1. 6log15k+log15m
  2. log15k+18log15m
  3. 6log15k+18log15m
  4. log15k+log15m
Grade 11 Logarithms
Expand log14(d4s2) using the Laws of Logarithms.
  1. log14d4-log14s2
  2. log14d4-2log14s
  3. 4log14d-log14s2
  4. 4log14d-2log14s
Grade 11 Logarithms
Which expression is equivalent to log(3x2y4)?
  1. 2log(3x)+4log(y)
  2. 2log(3x)-4log(y)
  3. log(3)+2log(x)+4log(y)
  4. log(3)+2log(x)-4log(y)
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
Grade 12 Logarithms CCSS: HSF-IF.C.7d
Which of the following is the domain of the logarithmic function f(x) = log base 2 (x)?
  1. All real numbers
  2. All positive real numbers
  3. All negative real numbers
  4. All positive real numbers except 0
Grade 11 Logarithms CCSS: HSF-BF.B.5
What is the solution of log5(4x+25)=3 ?
  1. -5.5
  2. 10
  3. 25
  4. 54.5
Grade 11 Logarithms
Expand log4(2⋅11⋅74) using the Laws of Logarithms.
  1. log42-log411-log474
  2. log42+log411+4log47
  3. log42-log411-4log47
  4. log42+log411+log474
Grade 11 Logarithms
Which of the following is the correctly expanded version of log(15)-log(1100)?
  1. log(100-15)
  2. (log(500)+log(3))-(log(10)-log(100))
  3. (log(5)+log(3))-(log(1)-log(100))
  4. (log(5)+log(30))-(log(1)-log(10))
Grade 9 Logarithms CCSS: HSF-BF.B.5
Which equation represents log864=2 in exponential form?
  1. 864=2
  2. 28=64
  3. 264=8
  4. 82=64
Grade 11 Logarithms
Expand log2(65⋅84) using the Laws of Logarithms.
  1. 5log26+log284
  2. log265+log284
  3. 5log26+4log28
  4. log265+4log28
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