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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 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 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 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
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
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 12 Logarithms CCSS: HSF-IF.C.7d
What is the solution to the equation 2log4(x) = log4(64)?
  1. x = 1
  2. x = 4
  3. x = 8
  4. x = 16
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the solution to the equation log7(x+2) - log7(4) = 1?
  1. x = 4
  2. x = 45
  3. x = 14
  4. x = 3
Grade 12 Logarithms CCSS: HSF-IF.C.7d
Which of the following expressions is equivalent to ln(2x) - ln(x)?
  1. ln(x)
  2. ln(2x)
  3. ln(x/2)
  4. ln(2)
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