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Logarithms Questions - All Grades

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Grade 10 Logarithms CCSS: HSF-BF.B.5
Write [math]64 ^(1/2) = 8[/math] in logarithmic form.
  1. [math]log_64 (1/2) =8[/math]
  2. [math]log_(1/2) 8 =64[/math]
  3. [math]log_64 8 = 1/2[/math]
  4. [math]log_(1/2) 64 =8[/math]
Grade 10 Logarithms CCSS: HSF-BF.B.5
Write [math]log_2 8 = 3[/math] in exponential form.
  1. [math]2^4 = 8[/math]
  2. [math]2^3 = 8[/math]
  3. [math]2^2 = 8[/math]
  4. [math]2^5 = 8[/math]
Grade 10 Logarithms CCSS: HSF-BF.B.5
[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 11 Logarithms CCSS: HSF-BF.B.5, 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 10 Logarithms CCSS: HSF-IF.A.1
What is the domain of the function [math]f(x)=3log_2 x ?[/math]
  1. [math][0,oo)[/math]
  2. [math](0,oo)[/math]
  3. [math](3,oo)[/math]
  4. [math][2,oo)[/math]
  5. [math](-oo,oo)[/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]10xx10^-3=0.01[/math]
  4. [math]10xx10^-4=0.001[/math]
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
[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
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 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 CCSS: HSF-IF.C.7d
What is the value of ln(e^5)?
  1. 5
  2. e
  3. ln(5)
  4. Undefined
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
What is the natural logarithm of e?
  1. 1
  2. e
  3. 0
  4. Undefined
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 CCSS: HSF-BF.B.5
[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
Expand [math]log (6*10)[/math] using the Laws of Logarithms.
  1. [math]log 6 + log 10[/math]
  2. [math]log 6 - log 10[/math]
  3. [math]log 60[/math]
  4. [math]log 6 /log 10[/math]
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