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Eleventh Grade (Grade 11) Logarithms Questions

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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 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 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
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 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
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 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]
Grade 11 Logarithms
Write [math]5^3=125[/math] in logarithmic form.
  1. [math]log_3 125 = 5[/math]
  2. [math]log_5 3 = 125[/math]
  3. [math]log_3 5 = 125[/math]
  4. [math]log_5 125 = 3[/math]
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
Write [math]13^3 = 2197[/math] in logarithmic form.
  1. [math]log_13 3 = 2197[/math]
  2. [math]log_2197 3 = 13[/math]
  3. [math]log_13 2197 = 3[/math]
  4. [math]log_2197 13 = 3[/math]
Grade 11 Logarithms
Expand [math]log (7/5)^6[/math] using the Laws of Logarithms.
  1. [math]log 7 + log 5[/math]
  2. [math]6log7 - 6log5[/math]
  3. [math]log 7 - log 5[/math]
  4. [math]6log 7 - 6log 5[/math]
Grade 11 Logarithms
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 11 Logarithms
Condense the logarithmic expression [math]log 4 - log 8[/math] using the laws of logarithms.
  1. [math]log (4*8)[/math]
  2. [math]log (4/8)[/math]
  3. [math]log 32[/math]
  4. [math]log 4+log8[/math]
Grade 11 Logarithms
Write [math]4^2 = x[/math] in logarithmic form.
  1. [math]log_x4=2[/math]
  2. [math]log_4x=2[/math]
  3. [math]log_x2=4[/math]
  4. [math]log_4 2=x[/math]
Grade 11 Logarithms
Condense the logarithmic expression [math]log_9 u + log_9 v[/math] using the Laws of Logarithms.
  1. [math]log_9 u/v[/math]
  2. [math]log_9(u * v)[/math]
  3. [math]u log_9 v[/math]
  4. [math]log_9 v[/math]
Grade 11 Logarithms
Expand [math]log_15 k^6root8(m)[/math] using the Laws of Logarithms.
  1. [math]6log_15 k + log_15 m[/math]
  2. [math]log_15 k + 1/8log_15 m[/math]
  3. [math]6log_15 k + 1/8log_15 m[/math]
  4. [math]log_15 k + log_15 m[/math]
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