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Logarithms Questions - All Grades

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Grade 11 Logarithms CCSS: HSF-BF.B.5
Evaluate. Write in simplest form. e2ln10
  1. 10
  2. 100
  3. -2
  4. 12
  5. none of these are correct
Grade 9 Logarithms CCSS: HSF-BF.B.3
Write the equation of a logarithmic function that is reflected over the x-axis and translated two units to the left and three units above the parent function f(x)=lnx.
  1. g(x)=3-ln(x)+2
  2. g(x)=3+ln(x)-2
  3. g(x)=3-ln(x+2)
  4. g(x)=-3+ln(x-2)
Grade 11 Logarithms
ln(6x)ln(18)=ln(x3)
  1. True
  2. False
Grade 11 Logarithms
Evaluate Log base 12 of 259 to four decimal places.
  1. 2.8074
  2. 2.2362
  3. 1.8925
  4. 2.3226
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)
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the inverse of the function y = 2^x?
  1. y = log(x)
  2. y = log2(x)
  3. y = ln(x)
  4. y = e^x
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the integral of 1/x dx?
  1. ln|x| + C
  2. x^2/2 + C
  3. e^x + C
  4. 1/(2x) + C
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the domain of the function f(x) = ln(x)?
  1. (-∞,0)
  2. [0,∞)
  3. (0,∞)
  4. (-∞,∞)
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the value of e^ln(x)?
  1. x
  2. ln(x)
  3. e
  4. Undefined
Grade 12 Logarithms CCSS: HSF-IF.C.7d
Which of the following is equivalent to log base b (1/b^n)?
  1. n
  2. -n
  3. -n * log base b (b)
  4. 1/n
Grade 12 Logarithms CCSS: HSF-IF.C.7d
Which of the following is equivalent to log base b (x^n)?
  1. log base b (x/n)
  2. log base b (n/x)
  3. n * log base b (x)
  4. log base x (n/b)
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 has a vertical asymptote at x = 0
  2. It has a horizontal asymptote at y = 0
  3. It has a vertical asymptote at x = 1
  4. It has a horizontal asymptote at y = infinity
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