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Logarithms Questions - All Grades

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Grade 10 Logarithms CCSS: HSF-BF.B.5
Write 6412=8 in logarithmic form.
  1. log64(12)=8
  2. log128=64
  3. log648=12
  4. log1264=8
Grade 10 Logarithms CCSS: HSF-BF.B.5
Write log28=3 in exponential form.
  1. 24=8
  2. 23=8
  3. 22=8
  4. 25=8
Grade 10 Logarithms CCSS: HSF-BF.B.5
23=8 is equivalent to which of the following?
  1. log82=3
  2. log38=2
  3. log28=3
  4. log83=2
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 11 Logarithms CCSS: HSF-BF.B.5, HSF-LE.A.4
2x=64 is equivalent to which of the following?
  1. log64x=2
  2. log264=x
  3. log2x=64
  4. logx64=2
Grade 10 Logarithms CCSS: HSF-IF.A.1
What is the domain of the function f(x)=3log2x?
  1. [0,∞)
  2. (0,∞)
  3. (3,∞)
  4. [2,∞)
  5. (-∞,∞)
Grade 9 Logarithms CCSS: HSF-BF.B.5
Which of the following expresses the equation in correct exponential form?

log100.0001=-4
  1. 10-3=0.001
  2. 10-4=0.0001
  3. 10×10-3=0.01
  4. 10×10-4=0.001
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 11 Logarithms CCSS: HSF-BF.B.5
64=1296 is equivalent to which of the following?
  1. log61296=4
  2. log41296=6
  3. log12966=3
  4. log64=1296
Grade 11 Logarithms
Express as a single logarithm. 2log(x)-5log(y)+3log(z)
  1. log(x2z3y5)
  2. -30log(xyz)
  3. -log(x2y5z3)
  4. log(x2y5z3)
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 11 Logarithms
Express as a single logarithm. 3loga-2logb-4logc
  1. log(3a-2b-4c)
  2. log(a3-b2-c4)
  3. 3loga-2logb-4logc
  4. log(a3b2c4)
  5. none of these are correct
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 11 Logarithms CCSS: HSF-BF.B.5
Write 42=x in logarithmic form.
  1. logx4=2
  2. log4x=2
  3. logx2=4
  4. log42=x
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