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Logarithms Questions - All Grades

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Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the solution to the equation log3(2x+1) - log3(x) = 2?
  1. x = 1
  2. x = 8
  3. x = 27
  4. x = 32
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the value of x in the equation logx(2) = 1/3?
  1. x = 6
  2. x = 8
  3. x = 2^(3/2)
  4. x = 3^(1/2)
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the solution to the equation log2(2x+1) - log2(x-2) = 2?
  1. x = -1
  2. x = 1
  3. x = 6
  4. x = 10
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the value of x in the equation log5(2x) = log5(80)?
  1. x = 5
  2. x = 8
  3. x = 20
  4. x = 40
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the solution to the equation 2log(x) = 4log(2)?
  1. x = 4
  2. x = 2
  3. x = 8
  4. x = 16
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the range of the function f(x) = ln(x)?
  1. (-∞,0)
  2. (-∞,∞)
  3. [0,∞)
  4. (0,∞)
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the domain of the function f(x) = log(base 3) (x-2)?
  1. (-∞, 2)
  2. [2, ∞)
  3. (2, ∞)
  4. (-∞, ∞)
Grade 12 Logarithms CCSS: HSF-IF.C.7d
Which of the following statements is true regarding the logarithmic function f(x) = log base b (x)?
  1. It is an even function
  2. It is an odd function
  3. It is neither an even nor an odd function
  4. It can be both an even and an odd function, depending on the value of b
Grade 12 Logarithms CCSS: HSF-IF.C.7d
Which of the following is the inverse function of the exponential function f(x) = 3^x?
  1. f^-1(x) = log base 3 (x)
  2. f^-1(x) = log base 3 (x)/log base 3 (e)
  3. f^-1(x) = log base e (x)
  4. f^-1(x) = e^x
Grade 12 Logarithms
What is the formula for calculating compound interest?
  1. P = A(1 + r/n)^nt
  2. A = P(1 + r/n)^nt
  3. A = P(1 + r)^t
  4. P = A(1 + r)^t
Grade 11 Logarithms
Solve: log7(x)<-1
  1. x<17
  2. x>17
  3. 0<x<17
  4. No solution
Grade 11 Logarithms
Evaluate the expression log7343.
  1. 1
  2. 3
  3. 21
  4. 49
Grade 11 Logarithms CCSS: HSF-BF.B.5
Solve: log6(x2-6x)=log6(-8)
  1. -4, -2
  2. 4, 2
  3. 4
  4. No real solution
Grade 11 Logarithms CCSS: HSF-BF.B.5
Simplify the expression. 4log416x
  1. 2x
  2. 16x
  3. 42x
  4. log16x
Grade 10 Logarithms
The base of a common logarithm is 15.
  1. True
  2. False
Grade 11 Logarithms
Simplify the expression log100x.
  1. 2
  2. x
  3. 2x
  4. 2x
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