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Logarithms Questions - All Grades

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Grade 11 Logarithms CCSS: HSF-LE.A.4
[math]2^x=64[/math] is equivalent to which of the following?
  1. [math]log_64 x=2[/math]
  2. [math]log_2 64=x[/math]
  3. [math]log_2 x=64[/math]
  4. [math]log_x 64=2[/math]
Grade 11 Logarithms
Express as a single logarithm. [math]2log(x) - 5log(y) + 3log(z)[/math]
  1. [math]log((x^2 z^3)/y^5)[/math]
  2. [math] -30log(xyz) [/math]
  3. [math] -log(x^2 y^5 z^3) [/math]
  4. [math] log((x^2 y^5)/z^3)[/math]
Grade 11 Logarithms
Express as a single logarithm. [math]3log a - 2log b - 4logc[/math]
  1. [math] log (3a - 2b - 4c)[/math]
  2. [math]log (a^3 - b^2 - c^4)[/math]
  3. [math]3log a - 2log b - 4logc[/math]
  4. [math]log ((a^3)/(b^2c^4))[/math]
  5. none of these are correct
Grade 11 Logarithms
[math]6^4=1296[/math] is equivalent to which of the following?
  1. [math]log_6 1296=4[/math]
  2. [math]log_4 1296=6[/math]
  3. [math]log_1296 6=3[/math]
  4. [math]log_6 4=1296[/math]
Grade 11 Logarithms
Solve for x. [math]log_(10) (x^5) = 5[/math]
  1. 10
  2. 5
  3. 1
  4. 0
  5. none of these are correct
Grade 11 Logarithms CCSS: HSF-BF.B.5
Evaluate. Write in simplest form. [math]10^(log_(10) 3)[/math]
  1. 3
  2. 10
  3. 1000
  4. 1/3
  5. none of these are correct
Grade 11 Logarithms CCSS: HSF-LE.A.4
[math]4^x=256[/math] is equivalent to which of the following?
  1. [math]log_256 x=4[/math]
  2. [math]log_4 x=256[/math]
  3. [math]log_256 4=x[/math]
  4. [math]log_4 256=x[/math]
Grade 11 Logarithms CCSS: HSF-BF.B.5
Solve the logarithmic equation.

[math]5 log(x-2)=11[/math]
  1. [math]x=160.5[/math]
  2. [math]x=158.5[/math]
  3. [math]x=2.2[/math]
  4. [math]x=0.34[/math]
  5. [math]x=2.34[/math]
Grade 11 Logarithms
[math]2^3=8[/math] is equivalent to which of the following?
  1. [math]log_8 2=3[/math]
  2. [math]log_3 8=2[/math]
  3. [math]log_2 8=3[/math]
  4. [math]log_8 3=2[/math]
Grade 10 Logarithms CCSS: HSF-BF.B.5
Grade 9 Logarithms CCSS: HSF-BF.B.5
Which of the following correctly expresses the equation in logarithmic form?

[math]2^6=64[/math]
  1. [math]log_6 2=64[/math]
  2. [math]log_2 6=64[/math]
  3. [math]log_6 64=2[/math]
  4. [math]log_2 64=6[/math]
Grade 10 Logarithms
Grade 11 Logarithms
Solve for x. [math]log_5⁡125=x[/math]
  1. 25
  2. 3
  3. [math]1/5[/math]
  4. 5
Grade 11 Logarithms
What expression is equivalent to [math]3log_4x + log_4y - 4log_4z?[/math]
  1. [math]log_4 ((3xy)/(4z))[/math]
  2. [math] log_4((x^3y)/z^4) [/math]
  3. [math]log_4x^3yz^4[/math]
  4. [math]log_4x^3 + y - z^4[/math]
Grade 11 Logarithms
Which of the following is the correctly expanded version of [math]log(15) - log(1/100)?[/math]
  1. [math]log(100 - 15)[/math]
  2. [math](log(500) + log(3)) - (log(10) - log(100))[/math]
  3. [math](log(5) + log(3)) - (log(1) - log(100))[/math]
  4. [math](log(5) + log(30)) - (log(1) - log(10))[/math]
Grade 10 Logarithms
Write [math]log_5 36=x[/math] in exponential form.
  1. [math]36x = 5[/math]
  2. [math]5^x = 36[/math]
  3. [math]x^5 = 36[/math]
  4. [math]10^x = 36[/math]
Grade 11 Logarithms CCSS: HSF-BF.B.5
Grade 11 Logarithms
Condense the logarithmic expression [math]log_5 a + log_5 b[/math] using the Laws of Logarithms.
  1. [math]log_5(a/b)[/math]
  2. [math]b log_5 a[/math]
  3. [math]log_5 (a*b)[/math]
  4. [math]log_a (5*b)[/math]
Grade 9 Logarithms CCSS: HSF-BF.B.5
Which of the following expresses the equation in correct exponential form?

[math]log_10 0.0001=-4[/math]
  1. [math]10^-3=0.001[/math]
  2. [math]10^-4=0.0001[/math]
  3. [math]10x10^-3=0.01[/math]
  4. [math]10x10^-4=0.001[/math]
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