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Eleventh Grade (Grade 11) Logarithms Questions

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Grade 11 Logarithms CCSS: HSF-BF.B.5, HSF-LE.A.4
2x=64 is equivalent to which of the following?
  1. log64x=2
  2. log264=x
  3. log2x=64
  4. logx64=2
Grade 11 Logarithms CCSS: HSF-BF.B.5
64=1296 is equivalent to which of the following?
  1. log61296=4
  2. log41296=6
  3. log12966=3
  4. log64=1296
Grade 11 Logarithms
Express as a single logarithm. 2log(x)-5log(y)+3log(z)
  1. log(x2z3y5)
  2. -30log(xyz)
  3. -log(x2y5z3)
  4. log(x2y5z3)
Grade 11 Logarithms
Express as a single logarithm. 3loga-2logb-4logc
  1. log(3a-2b-4c)
  2. log(a3-b2-c4)
  3. 3loga-2logb-4logc
  4. log(a3b2c4)
  5. none of these are correct
Grade 11 Logarithms CCSS: HSF-BF.B.5
Write 42=x in logarithmic form.
  1. logx4=2
  2. log4x=2
  3. logx2=4
  4. log42=x
Grade 11 Logarithms CCSS: HSF-BF.B.5
4x=256 is equivalent to which of the following?
  1. log256x=4
  2. log4x=256
  3. log2564=x
  4. log4256=x
Grade 11 Logarithms CCSS: HSF-BF.B.5
Solve the logarithmic equation.

5log(x-2)=11
  1. x=160.5
  2. x=158.5
  3. x=2.2
  4. x=0.34
  5. x=2.34
Grade 11 Logarithms
Expand log(610) using the Laws of Logarithms.
  1. log6+log10
  2. log6-log10
  3. log60
  4. log6log10
Grade 11 Logarithms
Condense the logarithmic expression log5a+log5b using the Laws of Logarithms.
  1. log5(ab)
  2. blog5a
  3. log5(ab)
  4. loga(5b)
Grade 11 Logarithms CCSS: HSF-BF.B.5
Grade 11 Logarithms CCSS: HSF-BF.B.5
Write 53=125 in logarithmic form.
  1. log3125=5
  2. log53=125
  3. log35=125
  4. log5125=3
Grade 11 Logarithms
Condense the logarithmic expression log4-log8 using the laws of logarithms.
  1. log(48)
  2. log(48)
  3. log32
  4. log4+log8
Grade 11 Logarithms CCSS: HSF-BF.B.5
Write 133=2197 in logarithmic form.
  1. log133=2197
  2. log21973=13
  3. log132197=3
  4. log219713=3
Grade 11 Logarithms CCSS: HSF-BF.B.5
Write 112=121 in logarithmic form.
  1. log2121=11
  2. log112=121
  3. log211=121
  4. log11121=2
Grade 11 Logarithms
What expression is equivalent to 3log4x+log4y-4log4z?
  1. log4(3xy4z)
  2. log4(x3yz4)
  3. log4x3yz4
  4. log4x3+y-z4
Grade 11 Logarithms
Condense the logarithmic expression log9u+log9v using the Laws of Logarithms.
  1. log9uv
  2. log9(uv)
  3. ulog9v
  4. log9v
Grade 11 Logarithms
If logbx=3logbp-(2logbt+12logbr), then what is the value of x?
  1. p3t2r
  2. p3t2r12
  3. p3t2r
  4. p3t2r
Grade 11 Logarithms
Expand log54x using the Laws of Logarithms.
  1. 4log5x
  2. 14log5x
  3. log5x14
  4. log5x4
Grade 11 Logarithms
Expand log(75)6 using the Laws of Logarithms.
  1. log7+log5
  2. 6log7-6log5
  3. log7-log5
  4. 6log7-6log5
Grade 11 Logarithms CCSS: HSF-BF.B.5
Evaluate. Write in simplest form. 10log103
  1. 3
  2. 10
  3. 1000
  4. 1/3
  5. none of these are correct
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